因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²

RT
2024-11-27 14:54:14
推荐回答(1个)
回答1:

2x(x-y)^4 - x²(x-y)² + xy(y-x)²
=2x(x-y)^4 - x²(x-y)² + xy(x-y)²
=x(x-y)^2[2(x-y)² - x + y]
=x(x-y)^2[2(x-y)² - (x-y)]
=x(x-y)^2*(x-y)[2(x-y)-1]
=x(x-y)^3[2(x-y)-1]
=x(x-y)^3(2x-2y-1)