化简x-1分之2-x²-1分之x-2÷x²-2x+1分之x²-2x
问题描述:
化简x-1分之2-x²-1分之x-2÷x²-2x+1分之x²-2x
答
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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