计算:(x+1/x²-x-x/x²-2x+1)÷1/x;a²-b²/ab÷(1/a-1/b).
问题描述:
计算:(x+1/x²-x-x/x²-2x+1)÷1/x;a²-b²/ab÷(1/a-1/b).
答
(x+1/x²-x-x/x²-2x+1)÷1/x
=[(x+1)/x(x-1)-x/(x-1)²】÷1/x
=(x+1)/(x-1)-x²/(x-1)²
=【(x+1)(x-1)-x²】/(x-1)²
=1/(x-1)²
a²-b²/ab÷(1/a-1/b).
=(a+b)(a-b)/ab÷(b-a)/ab
=-a-b
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