{"common":{"save":0,"post_id":"5814","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"8550","post_id":"5814","mon_id":"1158532","chapter_id":"1158660","question":"<p>Th\u1ef1c hi\u1ec7n phép nhân sau:<\/p><p><span class=\"math-tex\">$(2x^2+3x-1).(x-1)$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$-2x^3+x^2-4x+1$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$-2x^3-x^2+4x-1$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$2x^3+x^2-4x+1$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$2x^3+5x^2-4x+1$<\/span>"],"correct":"3","level":"3","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$(2x^2+3x-1).(x-1)$<\/span><\/p><p><span class=\"math-tex\">$=2x^2.x+2x^2.(-1)+3x.x+3x.(-1)+(-1).x+(-1).(-1)$<\/span><\/p><p><span class=\"math-tex\">$=2x^3-2x^2+3x^2-3x-x+1$<\/span><\/p><p><span class=\"math-tex\">$=2x^3+(-2x^2+3x^2)+(-3x-x)+1$<\/span><\/p><p><span class=\"math-tex\">$=2x^3+x^2-4x+1$<\/span><\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>C. <\/strong><span class=\"math-tex\">$2x^3+x^2-4x+1$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-06-01 10:01:31","option_type":"math","len":0},{"id":"8551","post_id":"5814","mon_id":"1158532","chapter_id":"1158660","question":"<p>Th\u1ef1c hi\u1ec7n phép nhân hai \u0111a th\u1ee9c sau và <span style=\"color:#2980b9;\">tính t\u1ed5ng các h\u1ec7 s\u1ed1<\/span> c\u1ee7a các h\u1ea1ng t\u1eed c\u1ee7a \u0111a th\u1ee9c thu \u0111\u01b0\u1ee3c:<\/p><p><span class=\"math-tex\">$(x-1).(x-2)$<\/span><\/p>","options":["0","1","2","–1"],"correct":"1","level":"3","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$(x-1).(x-2)$<\/span><\/p><p><span class=\"math-tex\">$=x.x+x.(-2)+(-1).x+(-1).(-2)$<\/span><\/p><p><span class=\"math-tex\">$=x^2-2x-x+2$<\/span><\/p><p><span class=\"math-tex\">$=x^2-3x+2$<\/span><\/p><p>Trong \u0111a th\u1ee9c thu \u0111\u01b0\u1ee3c, các h\u1ec7 s\u1ed1 c\u1ee7a các h\u1ea1ng t\u1eed l\u1ea7n l\u01b0\u1ee3t là 1 ; –3 ; 2<\/p><p>T\u1ed5ng c\u1ee7a các h\u1ec7 s\u1ed1 là: 1 + (–3) + 2 = 0<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\">0<\/span><\/p>","type":"choose","extra_type":"flower","time":"0","user_id":"131","test":"1","date":"2022-06-01 10:09:38","option_type":"txt","len":0},{"id":"8553","post_id":"5814","mon_id":"1158532","chapter_id":"1158660","question":"<p>Rút g\u1ecdn bi\u1ec3u th\u1ee9c sau:<\/p><p><span class=\"math-tex\">$x.(x-1)+(2x-1).x$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$-3x^2-2x$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$3x^2+2x$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$3x^2-2x-1$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$3x^2-2x$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$x.(x-1)+(2x-1).x$<\/span><\/p><p><span class=\"math-tex\">$=x.(x-1+2x-1)$<\/span> (áp d\u1ee5ng tính ch\u1ea5t phân ph\u1ed1i c\u1ee7a phép nhân \u0111\u1ed1i v\u1edbi phép c\u1ed9ng)<\/p><p><span class=\"math-tex\">$=x.(3x-2)$<\/span> (thu g\u1ecdn \u0111a th\u1ee9c)<\/p><p><span class=\"math-tex\">$=3x^2-2x$<\/span> (nhân \u0111\u01a1n th\u1ee9c v\u1edbi \u0111a th\u1ee9c)<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>D. <\/strong><span class=\"math-tex\">$3x^2-2x$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-06-01 10:14:41","option_type":"math","len":0}]}