计算:(3-a²)/(a²+2a+1)+(1-(1)/(a+1))÷(1+(1)/(a-1))

峰之傲雪 1年前 已收到1个回答 举报

柳梦梅76 春芽

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原式=[-(a²-3)/(a+1)²+(a-a-1)/(a+1)]÷(a-1+1)/(a-1)
=[-(a²-3)/(a+1)²-1/(a+1)]÷a/(a-1)
=-(a²-3+a+1)/(a+1)²×(a-1)/a
=-(a+2)(a-1)/(a+1)²×(a-1)/a
=-(a+2)(a-1)²/a(a+1)²

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