-2(x-y)的2n次方-4(y-x)的2n-1次方(n为正整数)
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![-2(x-y)的2n次方-4(y-x)的2n-1次方(n为正整数)](/uploads/image/z/7236207-63-7.jpg?t=-2%28x-y%29%E7%9A%842n%E6%AC%A1%E6%96%B9-4%28y-x%29%E7%9A%842n-1%E6%AC%A1%E6%96%B9%28n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%29)
-2(x-y)的2n次方-4(y-x)的2n-1次方(n为正整数)
-2(x-y)的2n次方-4(y-x)的2n-1次方(n为正整数)
-2(x-y)的2n次方-4(y-x)的2n-1次方(n为正整数)
-2(x-y)^ 2n -4(y-x)^2n+1
=-2(x-y)^2n +4(x-y)^ (2n+1)
=(x-y) ^2n {2(x-y)-1}
=(2x-2y-1)(x-y) ^2n