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因式分解：(x+y)^3(x-y)-(x+y)(x-y)^3,9x^2-16(a+b)^2

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因式分解：(x+y)^3(x-y)-(x+y)(x-y)^3,9x^2-16(a+b)^2
因式分解：(x+y)^3(x-y)-(x+y)(x-y)^3,9x^2-16(a+b)^2
(x+y)^3(x-y)-(x+y)(x-y)^3
=(x+y)(x-y)[(x+y)²-(x-y)²]
=(x+y)(x-y)(x+y+x-y)(x+y-x+y)
=4xy(x+y)(x-y)
9x^2-16(a+b)^2
=(3x)²-[4(a+b)]²
=(3x+4a+4b)(3x-4a-4b)
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