1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)3:a(x-y)n-3b(y-x)n+1+2c(y-x)n+2 (n,n+1,n+2均为次数,此题需要分类讨论)三题都解出来,过程也写几步,我一定继续追加
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1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)3:a(x-y)n-3b(y-x)n+1+2c(y-x)n+2 (n,n+1,n+2均为次数,此题需要分类讨论)三题都解出来,过程也写几步,我一定继续追加
1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)
2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)
3:a(x-y)n-3b(y-x)n+1+2c(y-x)n+2 (n,n+1,n+2均为次数,此题需要分类讨论)
三题都解出来,过程也写几步,我一定继续追加
1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)3:a(x-y)n-3b(y-x)n+1+2c(y-x)n+2 (n,n+1,n+2均为次数,此题需要分类讨论)三题都解出来,过程也写几步,我一定继续追加
-xn+1+xn-xn-1=-[x2-x+1]x^(n-1)
a(x-y)2n-b(y-x)2n+1=[a-by+ax](y-x)^2n
a(x-y)n-3b(y-x)n+1+2c(y-x)n+2
当n为偶数时
原式=(y-x)^n[a-3by+3bx+2c(y-x)^2]
=(a-3by+3bx+2cy^2+2cx^2-4cxy)(y-x)^n
当n为奇数时
原式=(x-y)^n[a-3bx+3by-2c(y-x)^2]
=(-a+3bx-3by+2cy^2+2cx^2-4cxy)(y-x)^n
1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)
=-x^(n-1)(x^2-x+1)
2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)
=a(x-y)^2n+b(x-y)^(2n+1)
=(x-y)^2n*(a+b(x-y))
=(x-y)^2n*(a+bx-by)
3:a(x-y)n-3b(y-x)...
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1:-xn+1+xn-xn-1 (n+1,n,n-1均为次数)
=-x^(n-1)(x^2-x+1)
2:a(x-y)2n-b(y-x)2n+1 (2n,2n+1均为次数)
=a(x-y)^2n+b(x-y)^(2n+1)
=(x-y)^2n*(a+b(x-y))
=(x-y)^2n*(a+bx-by)
3:a(x-y)n-3b(y-x)n+1+2c(y-x)n+2 (n,n+1,n+2均为次数,此题需要分类讨论)
(i)n是偶数:
=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]
(ii)n是奇数:
=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]
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