化简x-1分之2-x²-1分之x-2÷x²-2x+1分之x²-2x

Question

化简x-1分之2-x²-1分之x-2÷x²-2x+1分之x²-2x

Answer 1

化简x-1分之2-x²-1分之x-2÷x²-2x+1分之x²-2x
=2/(x-1)-(x-2)/(x²-1)÷(x²-2x)/(x-1)²
=2/(x-1)-(x-2)/(x+1)(x-1)×(x-1)²/x(x-2)
=2/(x-1)-(x-1)/x(x+1)
=[2x(x+1)-(x-1)²]/x(x+1)
=[2x²+2x-x²+2x-1]/x(x+1)
=(x²+4x-1)/x(x+1);

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