因式分解:64x^6-y^6?

两种因式分解的结果
2025-02-22 14:54:26
推荐回答(2个)
回答1:

因式分解:
64x^6-y^6
=(8x^3+y^3)(8x^3-y^3)
=(2x+y)(4x^2-2xy+y^2)(2x-y)(4x^2+2xy+y^2)

回答2:

=(8ⅹ^3)^2-(y^3)^2
=(8x^3+y^3)(8x^3-y^3)
=[(2x)^3+y^3][(2ⅹ)^3-y^3]
=(2x+y)(4ⅹ^2-2xy+y^2)(2ⅹ-y)(4ⅹ^2+2xy+y^2)