如果a/b=3,计算a²-2ab+b²/a²-b²的值,详解.
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![如果a/b=3,计算a²-2ab+b²/a²-b²的值,详解.](/uploads/image/z/1735916-68-6.jpg?t=%E5%A6%82%E6%9E%9Ca%2Fb%3D3%2C%E8%AE%A1%E7%AE%97a%26%23178%3B-2ab%2Bb%26%23178%3B%2Fa%26%23178%3B-b%26%23178%3B%E7%9A%84%E5%80%BC%2C%E8%AF%A6%E8%A7%A3.)
如果a/b=3,计算a²-2ab+b²/a²-b²的值,详解.
如果a/b=3,计算a²-2ab+b²/a²-b²的值,详解.
如果a/b=3,计算a²-2ab+b²/a²-b²的值,详解.
(a²-2ab+b²)/(a²-b²)
=(a-b)²/(a-b)(a+b)
=(a-b)/(a+b)
=(a/b-1)/(a/b+1)
=(3-1)(3+1)
=1/2
原式=(a-b)^2/(a-b)(a+b)=(a-b)/(a+b),又因为a=3b,得原式=1/2,给个赞,亲…