因式分解 x^4-x^2y^2+y^4

2025-01-07 00:36:42
推荐回答(2个)
回答1:

原式=x^4+2x^2y^2+y^4-3x^2y^2
=(x^2+y^2)^2-3x^2y^2
=(x^2-√3xy+y^2)(x^2+√3xy+y^2)

回答2:

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