(x-y)(x+y)(x²+y²)(x四次方+y四次方)
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(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。