(x+y)(x²-xy+y²)—xy(x+y)因式分解(x-y)²+5(x-y)+6(x²-4x)²-3(x²-4x)-28-2x²y+6xy+56y因式分解

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(x+y)(x²-xy+y²)—xy(x+y)因式分解(x-y)²+5(x-y)+6(x²-4x)²-3(x²-4x)-28-2x²y+6xy+56y因式分解

(x+y)(x²-xy+y²)—xy(x+y)因式分解(x-y)²+5(x-y)+6(x²-4x)²-3(x²-4x)-28-2x²y+6xy+56y因式分解
(x+y)(x²-xy+y²)—xy(x+y)因式分解
(x-y)²+5(x-y)+6
(x²-4x)²-3(x²-4x)-28
-2x²y+6xy+56y
因式分解

(x+y)(x²-xy+y²)—xy(x+y)因式分解(x-y)²+5(x-y)+6(x²-4x)²-3(x²-4x)-28-2x²y+6xy+56y因式分解
(x+y)(x²-xy+y²)—xy(x+y)
=(x+y)(x²-xy+y²-xy)
=(x+y)(x²-2xy+y²)
=(x+y)(x-y)²

(x+y)(x²-xy+y²)—xy(x+y)
=(x+y)²【(x-y)²-xy】

(x y)(x²-xy y²)—xy(x y)=(x y)(x²-xy y²-xy)=(x y)(x²-2xy y²)=(x y)(x-y)²
先提取出公因式,然后将剩下的项合并