因式分解(x2-y2)-(x-y)2快

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因式分解(x2-y2)-(x-y)2快

因式分解(x2-y2)-(x-y)2快
因式分解(x2-y2)-(x-y)2

因式分解(x2-y2)-(x-y)2快

(x²-y²)-(x-y)²
=(x-y)(x+y)-(x-y)²
=(x-y)[(x+y)-(x-y)]
=(x-y)×2y
=2y(x-y)

=(x+y)(x-y)-(x-y)^2=(x-y)(x+y-x+y)=2y(x-y)

2是平方把

原式=(x+y)(x-y)-(x-y)²
=(x-y)【(x+y)-(x-y)】
=2y(x-y)

(x²-y²)-(x-y)²
=(x-y)(x+y)-(x-y)²
=(x-y)[x+y-(x-y)]
=(x-y)(x+y-x+y)
=2y(x-y)
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