[x-2分之1-1]除以x²-4分之3-x

题目

[x-2分之1-1]除以x²-4分之3-x

答案

[1/(x-2)-1]÷(3-x)/(x²-4)
=[(x+2)-(x²-4)]÷(3-x)
=(-x²+x+6)/(3-x)
=(x²-x-6)/(x-3)
=(x-3)(x+2)/(x-3)
=x+2
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