数学
[(n-m)^3]^p.[(m-n)(m-n)^p]^5这是道计算题 我解得 -(m-n)^8p+5可答案怎么说 P为偶数时 得 (m-n)^8p+5P为奇数时(n-m)^8p+5我看不懂啊 速度······!

2019-06-20

[(n-m)^3]^p.[(m-n)(m-n)^p]^5
这是道计算题 我解得 -(m-n)^8p+5
可答案怎么说 P为偶数时 得 (m-n)^8p+5
P为奇数时(n-m)^8p+5
我看不懂啊 速度······!
优质解答
P为偶数时:
[(n-m)^3]^p.[(m-n)(m-n)^p]^5
=(n-m)^(3p)*(m-n)^5*(m-n)^(5p)
=(n-m)^(3p)*(m-n)^(5p+5)
=(m-n)^(3p)*(m-n)^(5p+5)
=(m-n)^(8p+5)
因为P为偶数时3p也是偶数.
P为奇数时:
[(n-m)^3]^p.[(m-n)(m-n)^p]^5
=(n-m)^(3p)*(m-n)^5*(m-n)^(5p)
=(n-m)^(3p)*(m-n)^(5p+5)
=(n-m)^(3p)*(n-m)^(5p+5)
=(n-m)^(8p+5)
因为P为奇数时(5p+5)是偶数.
P为偶数时:
[(n-m)^3]^p.[(m-n)(m-n)^p]^5
=(n-m)^(3p)*(m-n)^5*(m-n)^(5p)
=(n-m)^(3p)*(m-n)^(5p+5)
=(m-n)^(3p)*(m-n)^(5p+5)
=(m-n)^(8p+5)
因为P为偶数时3p也是偶数.
P为奇数时:
[(n-m)^3]^p.[(m-n)(m-n)^p]^5
=(n-m)^(3p)*(m-n)^5*(m-n)^(5p)
=(n-m)^(3p)*(m-n)^(5p+5)
=(n-m)^(3p)*(n-m)^(5p+5)
=(n-m)^(8p+5)
因为P为奇数时(5p+5)是偶数.
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