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(2ab^2/a+b)^3/(ab^3/a^2-b^2)^2*[1/2(a-b)]^2化简
题目详情
(2ab^2/a+b)^3/(ab^3/a^2-b^2)^2*[1/2(a-b)]^2化简
▼优质解答
答案和解析
(2ab^2/a+b)^3/(ab^3/a^2-b^2)^2*[1/2(a-b)]^2
=[2ab²/(a+b)]³/[(ab³/(a²-b²)]²×[1/2(a-b)]²
=[(2ab²)³/(a+b)³]/[(ab³)²/(a-b)²(a+b)²]×[1/4(a-b)²]
=2a/(a+b)
=[2ab²/(a+b)]³/[(ab³/(a²-b²)]²×[1/2(a-b)]²
=[(2ab²)³/(a+b)³]/[(ab³)²/(a-b)²(a+b)²]×[1/4(a-b)²]
=2a/(a+b)
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