a(x-y)的n次方-3b(y-x)的n+1次方+2c(y-x)的n+2次方(n为正整数)、

因式分解

.n为奇数时
a(x-y)的n次方-3b(y-x)的n+1次方+2c(y-x)的n+2
=a(x-y)^n-3b(x-y)^(n+1)-2c(x-y)^(n+2)
=(x-y)^n*[a-3b(x-y)-2c(x-y)²]
=(x-y)^n*(a-3bx+3by-2cx²ï¼‹4cxy-2cy²)

2.当n为偶数时
a(x-y)的n次方-3b(y-x)的n+1次方+2c(y-x)的n+2
=a(x-y)^n+3b(x-y)^(n+1)+2c(x-y)^(n+2)
=(x-y)^n[a+3b(x-y)+2c(x-y)²]
=(x-y)^n(a+3bx-3by+2cx²ï¼4cxy+2cy²)
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第1个回答  2012-09-27
你问什么啊,问题补充完整啊