因为a^n-b^n=(a-b)(a^(n-1)+a^(n-2)b+.+a^2b^(n-3)+ab^(n-2)+b^(n-1) 故x^(n+1)-y^(n+1) =(x-y)(x^n+x^n-1y+x^n-2y^2+.+x^2y^n-2 +xy^n-1 +y^n) 那么x^n+x^n-1y+x^n-2y^2+.+x^2y^n-2 +xy^n-1 +y^n =x^(n+1)-y^(n+1)/(x-y)
x^n+x^n-1y+x^n-2y^2+.+x^2y^n-2 +xy^n-1 +y^n=?
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