计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)

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计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)

计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)
计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)

计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)

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

(x+y)(x^2+y^2)(x-y)(x^4+y^4)
=(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
看完了采纳哦~~祝学习进步!