计算①a²-b²／a²+2ab+b²÷2a-2b／a+b②a-1／a÷a-1／a

来源：学生作业帮编辑：搜搜考试网作业帮分类：数学作业时间：2024/05/15 01:08:41

计算①a²-b²／a²+2ab+b²÷2a-2b／a+b②a-1／a÷a-1／a²

①(a²-b²／a²+2ab+b²)÷(2a-2b／a+b)
=[(a+b)(a-b)/(a+b)²]÷[2(a-b)/(a+b)]
=[(a-b)/(a+b)]÷[2(a-b)/(a+b)]
=1/2
②(a-1／a)÷(a-1／a²)
=(a-1／a)*(a²/a-1)
=a
②[(a-1)／a]÷[(a-1)／a]²
=[(a-1)／a]*[a/(a-1)]²
=a/(a-1)
=1-1/(a-1)

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