(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢

(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢
(x-y)³-4(x-y)²+4(x-y)分解因式
希望将步骤写清楚 谢谢

(x-y)³-4(x-y)²+4(x-y)分解因式希望将步骤写清楚 谢谢
(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)^2-4(x-y)+4]
=(x-y)(x-y-2)^2

(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)²-4(x-y)+4]
=(x-y)[(x-y)-2]²
=(x-y)(x-y-2)²

先提取公因式，再将x-y看成一个整体，进行二次式的因式分解
(x-y)³-4(x-y)²+4(x-y)
=(x-y)[(x-y)²-4(x-y)+4]
=(x-y)[(x-y)-2]²
=(x-y)(x-y-2)²