15.(2022赣州崇义期中)先化简,再求值, (x^2-2xy+y^2)/(x^2-y^2)(x?

如题所述

第1个回答  2023-04-21
题目中的式子为:

(x^2 - 2xy + y^2) / ((x^2 - y^2) (x - y))

将分子进行因式分解,得到:

x^2 - 2xy + y^2 = (x - y)^2

将分母进行因式分解,得到:

(x^2 - y^2) (x - y) = (x + y) (x - y) (x - y) = (x - y)^2 (x + y)

将分子和分母的因式化简代入原式,得到:

(x - y)^2 / ((x - y)^2 (x + y)) = 1 / (x + y)

因此,原式的值为 1 / (x + y)。

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