计算:(x+y)(x∧2+y∧2)(x-y)(x∧4+y∧4)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/20 16:59:29
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)解原式=(x+

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!