{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["6"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/9.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $(-x^5y^2+x^4y^3-4x^3y^4):(-6x^2y^2)$ c\u00f3 h\u1ec7 s\u1ed1 c\u1ee7a $x^3$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c.<br\/> <b> B\u01b0\u1edbc 2:<\/b>T\u00ecm h\u1ec7 s\u1ed1 c\u1ee7a $x^3$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$\\begin{align} & (-{{x}^{5}}{{y}^{2}}+{{x}^{4}}{{y}^{3}}-4{{x}^{3}}{{y}^{4}}):(-6{{x}^{2}}{{y}^{2}}) \\\\ & =-{{x}^{5}}{{y}^{2}}:(-6{{x}^{2}}{{y}^{2}})+{{x}^{4}}{{y}^{3}}:(-6{{x}^{2}}{{y}^{2}})-4{{x}^{3}}{{y}^{4}}:(-6{{x}^{2}}{{y}^{2}}) \\\\ & =\\dfrac{1}{6}{{x}^{3}}-\\dfrac{1}{6}{{x}^{2}}y+\\dfrac{2}{3}x{{y}^{2}} \\\\ \\end{align}$ <br\/> H\u1ec7 s\u1ed1 c\u1ee7a $x^3$ l\u00e0 $\\dfrac{1}{6}$.<\/span> "}]}],"id_ques":651},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-1"],["9"]]],"list":[{"point":5,"width":50,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/8.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $\\left( \\dfrac{-2}{3}{{x}^{5}}{{y}^{2}}+\\dfrac{3}{4}{{x}^{4}}{{y}^{3}}-\\dfrac{4}{5}{{x}^{3}}{{y}^{4}} \\right):6{{x}^{2}}{{y}^{2}}$ c\u00f3 h\u1ec7 s\u1ed1 c\u1ee7a $x^3$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c.<br\/> <b> B\u01b0\u1edbc 2:<\/b>T\u00ecm h\u1ec7 s\u1ed1 \u0111i v\u1edbi $x^3$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$\\begin{align} & \\left( \\dfrac{-2}{3}{{x}^{5}}{{y}^{2}}+\\dfrac{3}{4}{{x}^{4}}{{y}^{3}}-\\dfrac{4}{5}{{x}^{3}}{{y}^{4}} \\right):6{{x}^{2}}{{y}^{2}} \\\\ & =\\dfrac{-2}{3}{{x}^{5}}{{y}^{2}}:6{{x}^{2}}{{y}^{2}}+\\dfrac{3}{4}{{x}^{4}}{{y}^{3}}:6{{x}^{2}}{{y}^{2}}-\\dfrac{4}{5}{{x}^{3}}{{y}^{4}}:6{{x}^{2}}{{y}^{2}} \\\\ & =-\\dfrac{1}{9}{{x}^{3}}+\\dfrac{1}{8}{{x}^{2}}y-\\dfrac{2}{15}x{{y}^{2}} \\\\ \\end{align}$ <br\/> H\u1ec7 s\u1ed1 c\u1ee7a $x^3$ l\u00e0 $-\\dfrac{1}{9}$.<\/span> "}]}],"id_ques":652},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-1"],["4"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/5.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $(-a^5b^3+3a^6b^2):4a^4b^2$ c\u00f3 h\u1ec7 s\u1ed1 c\u1ee7a $ab$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c.<br\/> <b> B\u01b0\u1edbc 2:<\/b>T\u00ecm h\u1ec7 s\u1ed1 \u0111i v\u1edbi $ab$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$\\begin{align} &(-a^5b^3+3a^6b^2):4a^4b^2 \\\\ & =-\\dfrac{1}{4}ab+\\dfrac{3}{4}a^2 \\\\ \\end{align}$<br\/> H\u1ec7 s\u1ed1 c\u1ee7a $ab$ l\u00e0 $\\dfrac{-1}{4}$.<\/span> "}]}],"id_ques":653},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-2"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/4.jpg' \/><\/center>Bi\u1ebft $(12x^3-8x):4x-4x(3x+\\dfrac{1}{4})=-9x^2$, gi\u00e1 tr\u1ecb c\u1ee7a $x$ l\u00e0 _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c \u1edf v\u1ebf tr\u00e1i.<br\/> <b> B\u01b0\u1edbc 2:<\/b> R\u00fat g\u1ecdn r\u1ed3i t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a $x$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$ (12x^3-8x):4x-4x(3x+\\dfrac{1}{4}) =-9x^2 \\\\ \\Leftrightarrow 3x^2-2-12x^2-x=-9x^2 \\\\ \\Leftrightarrow -9x^2-x-2=-9x^2 \\\\ \\Leftrightarrow -x-2=0 \\\\ \\Leftrightarrow x=-2 $ <br\/> <span class='basic_pink'> Do \u0111\u00f3 ph\u1ea3i \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $-2$. <\/span><\/span> "}]}],"id_ques":654},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["7"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/3.jpg' \/><\/center>Bi\u1ebft $(2x^2-x):x+(3x^3-6x^2):3x^2+3=21$, gi\u00e1 tr\u1ecb c\u1ee7a $x$ l\u00e0 _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c \u1edf v\u1ebf tr\u00e1i.<br\/> <b> B\u01b0\u1edbc 2:<\/b> R\u00fat g\u1ecdn r\u1ed3i t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a $x$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$ (2x^2-x):x+(3x^3-6x^2):3x^2+3=21 \\\\ \\Leftrightarrow 2x-1+x-2+3=21 \\\\ \\Leftrightarrow 3x=21 \\\\ \\Leftrightarrow x=7 $ <br\/> <span class='basic_pink'> Do \u0111\u00f3 ph\u1ea3i \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $7$. <\/span><\/span> "}]}],"id_ques":655},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-3"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/2.jpg' \/><\/center>Bi\u1ebft $(8x^2-4x):(-4x)-(x+2)=8$, gi\u00e1 tr\u1ecb c\u1ee7a $x$ l\u00e0 _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> Th\u1ef1c hi\u1ec7n chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c \u1edf v\u1ebf tr\u00e1i.<br\/> <b> B\u01b0\u1edbc 2:<\/b> R\u00fat g\u1ecdn r\u1ed3i t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a $x$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$ (8x^2-4x):(-4x)-(x+2)=8 \\\\ \\Leftrightarrow 8x^2:(-4x)-4x:(-4x)-x-2=8 \\\\ \\Leftrightarrow -2x+1-x-2=8 \\\\ \\Leftrightarrow -3x-1=8 \\\\ \\Leftrightarrow -3x=9 \\\\ \\Leftrightarrow x=-3$. <br\/> <span class='basic_pink'> Do \u0111\u00f3 ph\u1ea3i \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $-3$. <\/span>"}]}],"id_ques":656},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t.<br\/> Kh\u1eb3ng \u0111\u1ecbnh d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang hay sai","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/16.jpg' \/><\/center> \u0110a th\u1ee9c $A=x^2y^3+\\dfrac{1}{3}x^3y^5+\\dfrac{7}{4}x^6y^4$ chia h\u1ebft cho \u0111\u01a1n th\u1ee9c $B=3x^2y$ ","select":["\u0110\u00fang","Sai"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc:<\/b> \u0110\u1ec3 $ax^my^n$ chia h\u1ebft cho $bx^py^q$ th\u00ec $\\left\\{ \\begin{align} & m\\ge p \\\\ & n\\ge q \\\\ \\end{align} \\right.$<br\/> <b> B\u01b0\u1edbc 1:<\/b> X\u00e9t t\u1eebng h\u1ea1ng t\u1eed c\u1ee7a $A$ xem c\u00f3 chia h\u1ebft cho $B$ kh\u00f4ng.<br\/> <b> B\u01b0\u1edbc 2:<\/b> K\u1ebft lu\u1eadn $A$ c\u00f3 chia h\u1ebft cho $B$ kh\u00f4ng. <br\/> N\u1ebfu $a\\,\\vdots \\, m;b\\,\\vdots \\,m$ th\u00ec $(a+b)\\,\\vdots \\, m$. <br\/> N\u1ebfu $a\\,\\vdots \\, m;b\\,\\not\\vdots \\,m$ th\u00ec $(a+b)\\,\\not\\vdots \\, m$.<br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>Ta th\u1ea5y:<br\/> $\\left\\{ \\begin{align} & x^2y^3\\,\\,\\vdots \\,\\,3x^2y \\\\ & \\dfrac{1}{3}x^3y^5\\,\\,\\vdots \\,\\,3x^2y \\\\ & \\dfrac{7}{4}x^6y^4\\,\\,\\vdots \\,\\,3x^2y \\\\ \\end{align} \\right.\\,\\,\\Rightarrow \\,\\,(x^2y^3+\\dfrac{1}{3}x^3y^5+\\dfrac{7}{4}x^6y^4)\\,\\,\\vdots\\,\\,\\,3x^2y\\,\\,\\Rightarrow \\,\\,A\\,\\,\\vdots \\,\\,\\,B$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 \u0110\u00fang.<\/span>","column":2}]}],"id_ques":657},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t.<br\/> Kh\u1eb3ng \u0111\u1ecbnh d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang hay sai","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/16.jpg' \/><\/center> \u0110a th\u1ee9c $A=6x^2y^5-15xy^4+21x^4y^7$ chia h\u1ebft cho \u0111\u01a1n th\u1ee9c $B=3x^2y^3$ ","select":["\u0110\u00fang","Sai"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> X\u00e9t t\u1eebng h\u1ea1ng t\u1eed c\u1ee7a $A$ xem c\u00f3 chia h\u1ebft cho $B$ kh\u00f4ng.<br\/> <b> B\u01b0\u1edbc 2:<\/b> K\u1ebft lu\u1eadn $A$ c\u00f3 chia h\u1ebft cho $B$ kh\u00f4ng. <br\/> N\u1ebfu $a\\,\\vdots \\, m;b\\,\\vdots \\,m$ th\u00ec $(a+b)\\,\\vdots \\, m$. <br\/> N\u1ebfu $a\\,\\vdots \\, m;b\\,\\not\\vdots \\,m$ th\u00ec $(a+b)\\,\\not\\vdots \\, m$.<br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>Ta th\u1ea5y:<br\/> $\\left\\{ \\begin{align} & 6x^2y^5\\,\\,\\vdots \\,\\,3x^2y^3 \\\\ & 15xy^4\\,\\,\\not\\vdots \\,\\,3x^2y^3 \\\\ & 21x^4y^7\\,\\,\\vdots \\,\\,3x^2y^3 \\\\ \\end{align} \\right.\\,\\,\\Rightarrow \\,\\,(6x^2y^5-15xy^4+21x^4y^7)\\,\\,\\not\\vdots\\,\\,\\,3x^2y^3\\,\\,\\Rightarrow \\,\\,A\\,\\,\\not\\vdots \\,\\,\\,B$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 Sai.<\/span>","column":2}]}],"id_ques":658},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/13.jpg' \/><\/center> T\u00ecm $n \\in \\mathbb{N}$ \u0111\u1ec3 ph\u00e9p chia sau l\u00e0 ph\u00e9p chia h\u1ebft:<br\/> $(13x^3y^3+15x^3y^2+18x^2y^3):7x^ny^{n+1}$ ","select":["A. $n=0$ ho\u1eb7c $n = 1$ ","B. $n=2$ ho\u1eb7c $n = 3$","C. $n=3$ ho\u1eb7c $n = 4$","D. $n=1$ ho\u1eb7c $n = 2$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc:<\/b> \u0110\u1ec3 $ax^my^n$ chia h\u1ebft cho $bx^py^q$ th\u00ec $\\left\\{ \\begin{align} & m\\ge p \\\\ & n\\ge q \\\\ \\end{align} \\right.$ <br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>\u0110\u1ec3 $(13x^3y^3+15x^3y^2+18x^2y^3):7x^ny^{n+1}$ l\u00e0 ph\u00e9p chia h\u1ebft th\u00ec <br\/>$\\left\\{ \\begin{aligned} & 3\\ge n \\\\ & 3\\ge n+1 \\\\ & 2\\ge n+1 \\\\ & 2\\ge n \\\\ \\end{aligned} \\right.\\Leftrightarrow \\left\\{ \\begin{aligned} & 2\\ge n+1 \\\\ & 2\\ge n \\\\ \\end{aligned} \\right. \\Leftrightarrow n\\le 1$ v\u1edbi $n \\in \\mathbb{N}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span>","column":2}]}],"id_ques":659},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/13.jpg' \/><\/center> T\u00ecm $n \\in \\mathbb{N}$ \u0111\u1ec3 ph\u00e9p chia sau l\u00e0 ph\u00e9p chia h\u1ebft:<br\/> $(x^5y-\\dfrac{1}{2}x^3y^2-5x^2y):x^{n-1}$ ","select":["A. $n\\,\\in\\,\\mathbb{N};\\,n \\le 3$ ","B. $n\\,\\in\\,\\mathbb{N};\\,n \\ge 3$","C. $n\\,\\in\\,\\mathbb{N};\\,n > 3$","D. $n\\,\\in\\,\\mathbb{N};\\,n < 3$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc:<\/b> \u0110\u1ec3 $ax^my^n$ chia h\u1ebft cho $bx^py^q$ th\u00ec $\\left\\{ \\begin{align} & m\\ge p \\\\ & n\\ge q \\\\ \\end{align} \\right.$ <br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>\u0110\u1ec3 $(x^5y-\\dfrac{1}{2}x^3y^2-5x^2y):x^{n-1}$ l\u00e0 ph\u00e9p chia h\u1ebft th\u00ec $\\left\\{ \\begin{aligned} & 5\\ge n-1 \\\\ & 3\\ge n-1 \\\\ & 2\\ge n-1 \\\\ \\end{aligned} \\right.\\Leftrightarrow n-1\\le 2 \\Leftrightarrow n\\le 3$ v\u1edbi $n \\in \\mathbb{N}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span>","column":2}]}],"id_ques":660},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/12.jpg' \/><\/center> T\u00ecm $n \\in \\mathbb{N}$ \u0111\u1ec3 ph\u00e9p chia sau l\u00e0 ph\u00e9p chia h\u1ebft:<br\/> $(x^3-5x^2+3x):4x^n$ ","select":["A. $n\\,\\in\\,\\mathbb{N};\\,n > 1$ ","B. $n\\,\\in\\,\\mathbb{N};\\,n < 1$","C. $n\\,\\in\\,\\mathbb{N};\\,n\\ge 1$","D. $n\\,\\in\\,\\mathbb{N};\\,n \\le 1$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc:<\/b> \u0110\u1ec3 $ax^my^n$ chia h\u1ebft cho $bx^py^q$ th\u00ec $\\left\\{ \\begin{align} & m\\ge p \\\\ & n\\ge q \\\\ \\end{align} \\right.$ <br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>\u0110\u1ec3 $(x^3-5x^2+3x):4x^n$ l\u00e0 ph\u00e9p chia h\u1ebft th\u00ec $\\left\\{ \\begin{aligned} & 3\\ge n \\\\ & 2\\ge n \\\\ & 1\\ge n \\\\ \\end{aligned} \\right.\\Rightarrow n\\le 1$ v\u1edbi $n \\in \\mathbb{N}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 D.<\/span>","column":2}]}],"id_ques":661},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-7"],["3"]]],"list":[{"point":5,"width":40,"type_input":"","input_hint":["frac"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/11.jpg' \/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $(2a^5b^4+3a^4b^3):(-3a^4b^3)$ t\u1ea1i $a = -2; b = -1$ l\u00e0 <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> T\u00ecm k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p chia \u0111\u00e3 cho<br\/> <b> B\u01b0\u1edbc 2:<\/b> Thay $a = -2; b = -1$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/> $(2a^5b^4+3a^4b^3):(-3a^4b^3)=2a^5b^4:(-3a^4b^3)+3a^4b^3:(-3a^4b^3) =-\\dfrac{2}{3}ab-1$ <br\/> Thay $a = -2; b = -1$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm, ta \u0111\u01b0\u1ee3c: <br\/>$-\\dfrac{2}{3}.(-2).(-1)-1=\\dfrac{-7}{3}$ <\/span> "}]}],"id_ques":662},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-2"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/10.jpg' \/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $(-xyz^2)^5:(-x^2yz^3)^2$ t\u1ea1i $x = -1; y = \\dfrac{1}{2};z=-2$ l\u00e0 _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> T\u00ecm k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p chia \u0111\u00e3 cho.<br\/> <b> B\u01b0\u1edbc 2:<\/b> Thay $x = -1; y = \\dfrac{1}{2};z=-2$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/> $(-xyz^2)^5:(-x^2yz^3)^2=(-x^5y^5z^{10}):(-x^4y^2z^6)=xy^3z^4$ <br\/> Thay $x = -1; y = \\dfrac{1}{2};z=-2$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm, ta \u0111\u01b0\u1ee3c: <br\/>$(-1).(\\dfrac{1}{2})^3.(-2)^4=-2$ <br\/> <span class='basic_pink'> Do \u0111\u00f3 ph\u1ea3i \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $-2$. <\/span><\/span> "}]}],"id_ques":663},{"time":24,"part":[{"title":"\u0110i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o \u00f4 tr\u1ed1ng ","title_trans":"","temp":"fill_the_blank","correct":[[["-1"]]],"list":[{"point":5,"width":40,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/9.jpg' \/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $(-x^2y^5)^3:(2x^2y)^2$ t\u1ea1i $x = 2; y = 1$ l\u00e0 _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> T\u00ecm k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p chia \u0111\u00e3 cho.<br\/> <b> B\u01b0\u1edbc 2:<\/b> Thay $x = 2; y = 1$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>$(-x^2y^5)^3:(2x^2y)^2=-x^6y^{15}:4x^4y^2=-\\dfrac{1}{4}x^2y^{13}$<br\/> Thay $x = 2; y = 1$ v\u00e0o th\u01b0\u01a1ng v\u1eeba t\u00ecm, ta \u0111\u01b0\u1ee3c: <br\/>$-\\dfrac{1}{4}x^2y^{13}=-\\dfrac{1}{4}.2^2.1^{13}=-1$ <br\/> <span class='basic_pink'> Do \u0111\u00f3 ph\u1ea3i \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0 $-1$. <\/span><\/span> "}]}],"id_ques":664},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/8.jpg' \/><\/center> K\u1ebft qu\u1ea3 ph\u00e9p chia $(x^5-2x^4+3x^3-4x^2+5):3$ l\u00e0: ","select":["A. $3x^4-6x^3+9x^2-12x+15$ ","B. $3x^5-6x^4+9x^3-12x^2+15$ ","C. $\\dfrac{1}{3}x^5-\\dfrac{2}{3}x^4+x^3-\\dfrac{4}{3}x^2+\\dfrac{5}{3}$","D. $\\dfrac{1}{3}x^4-\\dfrac{2}{3}x^3+x^2-\\dfrac{4}{3}x+\\dfrac{5}{3}$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc: Chia \u0111\u01a1n th\u1ee9c $A$ cho \u0111\u01a1n th\u1ee9c $B$<\/b> <br\/>+ Chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $A$ cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $B$.<br\/> + Chia t\u1eebng l\u0169y th\u1eeba c\u1ee7a bi\u1ebfn trong $A$ cho l\u0169y th\u1eeba c\u1ee7a c\u00f9ng bi\u1ebfn \u0111\u00f3 trong $B$. <br\/> <span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>Ta c\u00f3 :<br\/> $\\begin{align} & (x^5-2x^4+3x^3-4x^2+5):3 \\\\ & =x^5:3-2x^4:3+3x^3:3-4x^2:3+5:3 \\\\ & =\\dfrac{1}{3}x^5-\\dfrac{2}{3}x^4+x^3-\\dfrac{4}{3}x^2+\\dfrac{5}{3} \\\\ \\end{align}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C.<\/span>","column":2}]}],"id_ques":665},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/5.jpg' \/><\/center> K\u1ebft qu\u1ea3 ph\u00e9p chia $27^6:9^2$ l\u00e0: ","select":["A. $9^3$ ","B. $9^4$ ","C. $3^{14}$","D. $3^3$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> B\u01b0\u1edbc 1:<\/b> \u0110\u01b0a $27$ v\u00e0 $9$ v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 $3$.<br\/> <b> B\u01b0\u1edbc 2:<\/b> Th\u1ef1c hi\u1ec7n ph\u00e9p chia hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1. <br\/> \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: $a^m:a^n=a^{m-n}$ <br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>Ta c\u00f3 :<br\/> $27^6:9^2=(3^3)^6:(3^2)^2=3^{18}:3^4=3^{14}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 C.<\/span>","column":2}]}],"id_ques":666},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/5.jpg' \/><\/center> K\u1ebft qu\u1ea3 ph\u00e9p chia $(x^5+12x^3-9x^2):4x^2$ l\u00e0: ","select":["A. $\\dfrac{1}{4}x^3+3x-\\dfrac{9}{4}$ ","B. $\\dfrac{1}{4}x^3+3x^2-\\dfrac{9}{4}x$ ","C. $4x^3+3x-\\dfrac{9}{4}$","D. $4x^3+3x^2-\\dfrac{9}{4}x$"],"hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn<\/span><br\/> <b> Quy t\u1eafc: Chia \u0111\u01a1n th\u1ee9c $A$ cho \u0111\u01a1n th\u1ee9c $B$<\/b> <br\/>+ Chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $A$ cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $B$.<br\/> + Chia t\u1eebng l\u0169y th\u1eeba c\u1ee7a bi\u1ebfn trong $A$ cho l\u0169y th\u1eeba c\u1ee7a c\u00f9ng bi\u1ebfn \u0111\u00f3 trong $B$. <br\/><span class='basic_green'>Gi\u1ea3i<\/span><br\/><span class='basic_left'>Ta c\u00f3 :<br\/> $\\begin{align} & ({{x}^{5}}+12{{x}^{3}}-9{{x}^{2}}):4{{x}^{2}} \\\\ & ={{x}^{5}}:4{{x}^{2}}+12{{x}^{3}}:4{{x}^{2}}-9{{x}^{2}}:4{{x}^{2}} \\\\ & =\\dfrac{1}{4}{{x}^{3}}+3x-\\dfrac{9}{4} \\\\ \\end{align}$ <span><br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n l\u00e0 A.<\/span>","column":2}]}],"id_ques":667},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"select":["A. $x^3+2\u22124x^4$","B. $x^2+2\u22124x^4$","C. $x^3+2\u22124x^3$"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/4.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $(2x^6+4x^3-8x^7):2x^3$ = ?","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> Quy t\u1eafc: Chia \u0111\u01a1n th\u1ee9c $A$ cho \u0111\u01a1n th\u1ee9c $B$<\/b> <br\/>+ Chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $A$ cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $B$.<br\/> + Chia t\u1eebng l\u0169y th\u1eeba c\u1ee7a bi\u1ebfn trong $A$ cho l\u0169y th\u1eeba c\u1ee7a c\u00f9ng bi\u1ebfn \u0111\u00f3 trong $B$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/>Ta c\u00f3: <br\/> $(2x^6+4x^3-8x^7):2x^3=2x^6:2x^3+4x^3:2x^3-8x^7:2x^3=x^3+2-4x^4$<\/span> "}]}],"id_ques":668},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"select":["A. $-3+4x^2z^2$","B. $-3+4x^3z^2$","C. $-3+4x^3z$"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/3.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $(6x^2z^2-8x^5z^4):(-2x^2z^2)$ = ?","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> Quy t\u1eafc: Chia \u0111\u01a1n th\u1ee9c $A$ cho \u0111\u01a1n th\u1ee9c $B$<\/b> <br\/>+ Chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $A$ cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $B$.<br\/> + Chia t\u1eebng l\u0169y th\u1eeba c\u1ee7a bi\u1ebfn trong $A$ cho l\u0169y th\u1eeba c\u1ee7a c\u00f9ng bi\u1ebfn \u0111\u00f3 trong $B$.<br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/> Ta c\u00f3: <br\/> $(6x^2z^2-8x^5z^4):(-2x^2z^2)=6x^2z^2:(-2x^2z^2)-8x^5z^4:(-2x^2z^2)=-3+4x^3z^2$ <\/span> "}]}],"id_ques":669},{"time":24,"part":[{"title":"Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"select":["A. $\u2212x^5z^2$","B. $\u2212x^4z^2$","C. $\u2212x^2z^2$"],"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop8/toan/daiso/bai8/lv2/img\/2.jpg' \/><\/center>K\u1ebft qu\u1ea3 ph\u00e9p chia $-3x^8z^7:3x^3z^5$ =?","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> Quy t\u1eafc: Chia \u0111\u01a1n th\u1ee9c $A$ cho \u0111\u01a1n th\u1ee9c $B$<\/b> <br\/>+ Chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $A$ cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c $B$.<br\/> + Chia t\u1eebng l\u0169y th\u1eeba c\u1ee7a bi\u1ebfn trong $A$ cho l\u0169y th\u1eeba c\u1ee7a c\u00f9ng bi\u1ebfn \u0111\u00f3 trong $B$. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i<\/span><br\/> Ta c\u00f3: <br\/> $-3x^8z^7:3x^3z^5=-x^5z^2$<\/span> "}]}],"id_ques":670}],"lesson":{"save":0,"level":2}}