因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²RT

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因式分解2x(x-y)^4-x²(x-y)²+xy(y-x)²RT因式分解2x(x-y)^4-x²(x-y)²+xy(y-x)²RT因式分解

因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²RT
因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²
RT

因式分解2x(x-y)^4 - x²(x-y)² + xy(y-x)²RT
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)