(a-b/1 -a+b/1)除以a平方+2ab+b平方/b;求解。速度啊。
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首先化简下面部分:
a/(a+b)-b/(a-b)-1
=[a*(a-b)]/(a²-b²)-[b*(a+b)]/(a²-b²)-(a²-b²)/(a²-b²)
=[a*(a-b)-b*(a+b)-(a²-b²)]/(a²-b²)
=(a²-ab-ab-b²-a²+b²)/(a²-b²)
=(-2ab)/(a²-b²)
=2ab/(b²-a²)将上面化简后的结果代入原式得:
[2*2ab/(b²-a²)]÷(2ab/b²)
=[2/(b²-a²)]*b²
=2b²/(b²-a²)
a/(a+b)-b/(a-b)-1
=[a*(a-b)]/(a²-b²)-[b*(a+b)]/(a²-b²)-(a²-b²)/(a²-b²)
=[a*(a-b)-b*(a+b)-(a²-b²)]/(a²-b²)
=(a²-ab-ab-b²-a²+b²)/(a²-b²)
=(-2ab)/(a²-b²)
=2ab/(b²-a²)将上面化简后的结果代入原式得:
[2*2ab/(b²-a²)]÷(2ab/b²)
=[2/(b²-a²)]*b²
=2b²/(b²-a²)
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