(x+y)(x-y)-(x+y)²怎么提公因式

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(x+y)(x-y)-(x+y)²怎么提公因式(x+y)(x-y)-(x+y)²怎么提公因式(x+y)(x-y)-(x+y)²怎么提公因式(x+y)(x-y)-(x+y)

(x+y)(x-y)-(x+y)²怎么提公因式
(x+y)(x-y)-(x+y)²怎么提公因式

(x+y)(x-y)-(x+y)²怎么提公因式
(x+y)(x-y)-(x+y)²
=(x+y)[(x-y)-(x+y)]
=(x+y)(-2y)
=-2y(x+y)

原式=(x+y)[(x-y)-(x+y)]
=-2y(x+y)

(x+y)(x-y —(x+y))

把相同的提出来,(x+y)(x-y)-(x+y)^2=(x+y)(x-y-x-y)=-2y(x-y)。