问题标题:
先化简(x+1/x^2-x-x/x^2-2x+1)/x分之1,再选择一个恰当的x值代入求值,
问题描述:
先化简(x+1/x^2-x-x/x^2-2x+1)/x分之1,再选择一个恰当的x值代入求值,
苏铭回答:
(x+1/x^2-x-x/x^2-2x+1)/x分之1
=(x+1/x(x-1)-x/(x-1)²)x
=(x+1)/(x-1)-x²/(x-1)²
={(x+1)(x-1)-x²}/(x-1)²
=(x²-1-x²)/(x-1)²
=-1/(x-1)²(取x=2)
=-1/(2-1)²
=-1
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