是(a^2)(a-b)^(n+1)-2a(a-b)^(n+2)+(a-b)^(n+3)吧?如果是的话: 解:(a^2)(a-b)^(n+1)-2a(a-b)^(n+2)+(a-b)^(n+3)=[(a-b)^(n+1)][a^2-2a(a-b)+(a-b)^2]=[(a-b)^(n+1)](a^2-2a^2+2ab+a^2-2ab+b^2)=[(a-b)^(n+1)](b^2)=(b^2)(a-b)^(n+1)
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