Question

(x-y)³-4(x-y)²+4(x-y)分解因式

(x-y)³-4(x-y)²+4(x-y)分解因式
希望将步骤写清楚 谢谢

Answer 1

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

Answer 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

Answer 3

(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

追问

问一下 就是将(x-y)^2-4(x-y)+4分解为(x-y-2)^2是怎么回事 我比较笨

追答

吧(x-y)看成a
a^2-4a+4
会了没?

追问

谢谢 会了