{"common":{"save":0,"post_id":"6628","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6452","post_id":"6628","mon_id":"1158921","chapter_id":"1158930","question":"<p>K\u1ebft qu\u1ea3 c\u1ee7a ph&eacute;p tr\u1eeb&nbsp;&nbsp;<span class=\"math-tex\">$\\dfrac{x}{x+1}-\\dfrac{1}{x-1}$<\/span>&nbsp;l&agrave;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2-2x-1}{(x+1)(x-1)}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{(x-1)^2}{(x-1)(x+1)}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{x-1}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{x+1}$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p><span class=\"math-tex\">$\\dfrac{x}{x+1}-\\dfrac{1}{x-1}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-x}{(x-1)(x+1)}-\\dfrac{x+1}{(x-1)(x+1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-x-x-1}{(x-1)(x+1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-2x-1}{(x-1)(x+1)}$<\/span>&nbsp;<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; &nbsp;&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-2x-1}{(x+1)(x-1)}$<\/span>&nbsp;.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-25 22:53:13","option_type":"math","len":0},{"id":"6454","post_id":"6628","mon_id":"1158921","chapter_id":"1158930","question":"<p>K\u1ebft qu\u1ea3 c\u1ee7a ph&eacute;p t&iacute;nh&nbsp;<span class=\"math-tex\">$\\dfrac{x}{x+1}+\\dfrac{1}{x-1}$<\/span>&nbsp;l&agrave;<\/p>","options":["<strong>A.<\/strong> 1","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2+1}{x^2-1}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{x-1}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{x+1}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p><span class=\"math-tex\">$\\dfrac{x}{x+1}+\\dfrac{1}{x-1}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-x}{(x-1)(x+1)}+\\dfrac{x+1}{(x-1)(x+1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2-x+x+1}{(x-1)(x+1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{x^2+1}{x^2-1}$<\/span>&nbsp;<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; &nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{x^2+1}{x^2-1}$<\/span>&nbsp;.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-25 22:56:47","option_type":"math","len":0},{"id":"6456","post_id":"6628","mon_id":"1158921","chapter_id":"1158930","question":"<p>K\u1ebft qu\u1ea3 c\u1ee7a ph&eacute;p t&iacute;nh&nbsp;&nbsp;<span class=\"math-tex\">$\\dfrac{2x-1}{x+1}-\\dfrac{1}{x}$<\/span>&nbsp; l&agrave;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^2+2x+1}{x(x+1)}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^2-2x+1}{x(x+1)}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^2+2x-1}{x(x+1)}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^2-2x-1}{x(x+1)}$<\/span>"],"correct":"4","level":"2","hint":"","answer":"<p><span class=\"math-tex\">$\\dfrac{2x-1}{x+1}-\\dfrac{1}{x}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{2x^2-x}{x(x+1)}-\\dfrac{x+1}{x(x+1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{2x^2-x-x-1}{x(x+1)}$<\/span>&nbsp;<\/p><p>=&nbsp;<span class=\"math-tex\">$\\dfrac{2x^2-2x-1}{x(x+1)}$<\/span>&nbsp;<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; &nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{2x^2-2x-1}{x(x+1)}$<\/span>&nbsp;.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-25 23:00:41","option_type":"math","len":0}]}