x-y平方+2y(x-y)的因式分解

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x-y平方+2y(x-y)的因式分解x-y平方+2y(x-y)的因式分解x-y平方+2y(x-y)的因式分解(x-y)平方+2y(x-y)=(x-y)(x-y+2y)=(x-y)(x+y)x的平方-x

x-y平方+2y(x-y)的因式分解
x-y平方+2y(x-y)的因式分解

x-y平方+2y(x-y)的因式分解
(x-y)平方+2y(x-y)
=(x-y)(x-y+2y)
=(x-y)(x+y)

x的平方-xy-2y的平方=(x-2y((x+y) -x-y= -(x+y)

(x-y)²+2y(x-y)=(x-y)(x-y+2y)

先提取公因式(x-y)
(x-y)(x-y+2y)
=(x-y)(x+y)
=x^2-y^2

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