因式分解(x+y)²-16(x-y)²

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因式分解(x+y)²-16(x-y)²

因式分解(x+y)²-16(x-y)²
因式分解(x+y)²-16(x-y)²

因式分解(x+y)²-16(x-y)²
(x+y)²-16(x-y)²
=(x+y)²-[4(x-y)]²
=[(x+y)+4(x-y)][(x+y)-4(x-y)]
=(5x-3y)(5y-3x)