化简:(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n(n为正整数)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 17:54:14

化简:(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n(n为正整数)
化简:(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n(n为正整数)

化简:(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n(n为正整数)
(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n
=(x+y-z)^3n*(x+y-z)^2n*(x+y-z)^5n
=(x+y-z)^(3n+2n+5n)
==(x+y-z)^10n

(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n
=(x+y-z)^3n*(x+y-z)^2n*(x+y-z)^5n
=(x+y-z)^(3n+2n+5n)
==(x+y-z)^10n