求已知a^2-4ab+b^2=0,求（a+b）^2 - 知识问答

求已知a^2-4ab+b^2=0,求（a+b）^2/（a-b）^2的值

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a^2-4ab+b^2=0
a^2-2ab+b^2=2ab
(a-b)²=2ab
a^2-4ab+b^2=0
a^2+2ab+b^2=6ab
(a+b)²=6ab
∴(a+b)²/(a-b)²=6ab/2ab=3

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