Question

分解因式：x(x-y)^n+1-2(y-x)^2n

Answer 1

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) }