(x+y)(x²+y²)(x-y)(x的四次方+y的四次方)

问题描述:

(x+y)(x&sup2+y&sup2)(x-y)(x的四次方+y的四次方)

(x+y)(x²+y²)(x-y)(x的四次方+y的四次方)
=(x2-y^2)(x^2+y^2)(x^4+y^4)
=(x^4-y^4))(x^4+y^4)
=x^8-y^8

(x+y)(x²+y²)(x-y)(x的四次方+y的四次方)
=(x+y)(x-y))(x²+y²)(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

原式=(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