20121220444
x^8-y^8
=(x^4)^2-(y^4)^2
=(x^4+y^4)(x^4-y^4)
=(x^4+y^4)[(x²)²-(y²)²]
=(x^4+y^4)(x²+y²)(x²-y²)
=(x^4+y^4)(x²+y²)(x+y)(x+-y)
因式分解x^8-y^8,
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20121220444
x^8-y^8
=(x^4)^2-(y^4)^2
=(x^4+y^4)(x^4-y^4)
=(x^4+y^4)[(x²)²-(y²)²]
=(x^4+y^4)(x²+y²)(x²-y²)
=(x^4+y^4)(x²+y²)(x+y)(x+-y)