分解因式:x(x-y)^n+1-2(y-x)^2n
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分解因式:x(x-y)^n+1-2(y-x)^2n分解因式:x(x-y)^n+1-2(y-x)^2n分解因式:x(x-y)^n+1-2(y-x)^2nx(x-y)^(n+1)-2(y-x)^(2n)=
分解因式:x(x-y)^n+1-2(y-x)^2n
分解因式:x(x-y)^n+1-2(y-x)^2n
分解因式:x(x-y)^n+1-2(y-x)^2n
x(x-y)^(n+1) - 2(y-x)^(2n)
= x(x-y)^n*(x-y) - 2(x-y)^(2n)
= (x-y)^n*{ x(x-y) - 2(x-y)^n }
= (x-y)^(n+1) *{ x - 2(x-y)^(n-1) }
x(x-y)^n+1-2(y-x)^2n
=x(x-y)^n+1-2(x-y)^2n
=[x-2(x-y)^(n-1)](x-y)^(n+1)
(x-y)^n[x(x-y)-2(x-y)^n]
x(x-y)ⁿ+¹-2(y-x)²ⁿ
=(x-y)ⁿ+¹[x-2(x-y)ⁿ-¹]
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