(x-y)(x+y)(x²+y²)(x四次方+y四次方)

(x-y)(x+y)(x²+y²)(x四次方+y四次方)
(x-y)(x+y)(x²+y²)(x四次方+y四次方)

(x-y)(x+y)(x²+y²)(x四次方+y四次方)
(x-y)(x+y)(x²+y²)(x⁴+y⁴)
=(x²-y²)(x²+y²)(x⁴+y⁴)
=(x⁴-y⁴)(x⁴+y⁴)
=x^8 -y^8
x^8表示x的8次方.
提示：就是反复利用平方差公式.

x八次方 - x八次方

(x-y)(x+y)(x²+y²)(x四次方+y四次方)
=(x^2-y^2)()(x²+y²)(x四次方+y四次方)
=(x^4-y^4)(x^4+y^4)
=x^8-y^8

平方差公式的熟练应用，(a+b)(a-b)=a^2-b^2 x^8表示x的8次方

(x-y)(x+y)(x^2+y^2)(x^4+y^4)
=(x^2-y^2)(x^2+y^2)(x^4+y^4)
=(x^4-y^4)(x^4+y^4)
=x^8-y^8

希望对你有帮助，记住平方差公式很必要的，有助于考试滴。望采纳，有问必答。