分解因式:-2(x-y)的2n次方-4(y-x)的(2n次方+1)

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分解因式:-2(x-y)的2n次方-4(y-x)的(2n次方+1)
分解因式:-2(x-y)的2n次方-4(y-x)的(2n次方+1)

分解因式:-2(x-y)的2n次方-4(y-x)的(2n次方+1)
-2(x-y)^2n - 4(y-x)^(2n+1)
= 4(x-y)•(x-y)^2n -2(x-y)^2n
= (x-y)^2n • (4x-4y-2x+2y)
= (x-y)^2n • (2x-2y)
= 2(x-y)^(2n+1)