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计算(x-2)/(x^2+3x+2)+6/(2+x-x^2-(x-10)/(x^2-4)

题目详情
计算(x-2)/(x^2+3x+2)+6/(2+x-x^2-(x-10)/(x^2-4)
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答案和解析
(x-2)/(x^2+3x+2)+6/(2+x-x^2)-(x-10)/(x^2-4)=(x-2)/[(x+1)(x+2)]-6/[(x+1)(x-2)]-(x-10)/[(x-2)(x+2)]=[(x-2)^2-6(x+2)-(x-10)(x+1)]/[(x-2)(x+1)(x+2)]=[(x^2-4x+4)-(6x+12)-(x^2-9x-10)]/[(x-2)(x+1)(x+2)]=[-x+...
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