x的四次方+64y的四次方因式分解

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2025-03-21 17:29:24
推荐回答(1个)
回答1:

x^4+64y^4
=x^4+16x^2 y^2 + 64y^4 - 16x^2 y^2
=(x^2+8y^2)^2 - (4xy)^2
=(x^2+4xy+8y^2)(x^2-4xy+8y^2)