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(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解

学习时间:2026-06-05 23:24:59 阅读：6290

(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解

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美好的大地

调皮的小熊猫

2026-06-05 23:24:59

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(x+y)^4(x-y)^2-(x+y)^2(y-x)^4
=(x+y)^4(x-y)^2-(x+y)^2(x-y)^4
=(x+y)^2(x-y)^2[(x+y)^2-(x-y)^2]
=4xy(x+y)^2(x-y)^2

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舒心的小熊猫
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2026-06-05 23:24:59
(x+y)^4(x-y)^2-(x+y)^2(y-x)^4=(x+y)^4(x-y)^2-(x+y)^2(x-y)^4=(x+y)^2(x-y)^2[(x+y)^2-(x-y)^2]=4xy(x+y)^2(x-y)^2

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