{"common":{"save":0,"post_id":"6552","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5945","post_id":"6552","mon_id":"1158921","chapter_id":"1158928","question":"<p>T&igrave;m x, bi\u1ebft:&nbsp;<span class=\"math-tex\">$(x-1)(x^2+x+1)-(x+1)^3+3(x-1)(x+1)=0$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=\\dfrac{-5}{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x=\\dfrac{5}{3}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x=\\dfrac{-3}{5}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x=\\dfrac{3}{5}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$(x-1)(x^2+x+1)-(x+1)^3+3(x-1)(x+1)=0$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow (x^3-1)-(x^3+3x^2+3x+1)+(3x^2-3)=0$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow x^3-1-x^3-3x^2-3x-1+3x^2-3=0$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow -3x-5=0$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow x=\\dfrac{-5}{3}$<\/span><\/p><p>Ch\u1ecdn<span style=\"color:#16a085;\">&nbsp;<strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$x=\\dfrac{-5}{3}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-09 03:45:05","option_type":"math","len":0},{"id":"5947","post_id":"6552","mon_id":"1158921","chapter_id":"1158928","question":"<p>T&igrave;m x, bi\u1ebft:&nbsp;<span class=\"math-tex\">$(x-1)^3+3x^2+(2-x)(4+2x+x^2)=1$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=\\dfrac{-8}{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x=\\dfrac{8}{3}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x=2$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x=-2$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$(x-1)^3+3x^2+(2-x)(4+2x+x^2)=1$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow (x^3-3x^2+3x-1)+3x^2+(8-x^3)=1$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow x^3-3x^2+3x-1+3x^2+8-x^3=1$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow 3x+7=1$<\/span><\/p><p><span class=\"math-tex\">$\\Leftrightarrow x=-2$<\/span><\/p><p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$x=-2$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-09 03:48:28","option_type":"math","len":0},{"id":"5949","post_id":"6552","mon_id":"1158921","chapter_id":"1158928","question":"<p>R&uacute;t g\u1ecdn bi\u1ec3u th\u1ee9c <span class=\"math-tex\">$(2x-1)^3+(x-2)(x^2+2x+4)$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$9x^3+12x^2+6x+9$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$7x^3-12x^2+6x-7$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$9x^3-12x^2+6x-9$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x^3-12x^2+6x-9$<\/span>"],"correct":"3","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$(2x-1)^3+(x-2)(x^2+2x+4)$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$8x^3-12x^2+6x-1+x^3-8$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$9x^3-12x^2+6x-9$<\/span><\/p><p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$9x^3-12x^2+6x-9$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-09 03:58:52","option_type":"math","len":0}]}