分解因式：(x+y)2+9(x-y)2-6(x2-y2)
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(x+y)²+9(x-y)²-6(x²-y²)
=(x+y)²+9(x-y)²-6(x+y)(x-y)
=(x+y)²-6(x+y)(x-y)+9(x-y)²
=[(x+y)-3(x-y)]²
=(x+y-3x+3y)²
=(-2x+4y)²
=[-2(x-2y)]²
=4(x-2y)²
=(x+y)²+9(x-y)²-6(x+y)(x-y)
=(x+y)²-6(x+y)(x-y)+9(x-y)²
=[(x+y)-3(x-y)]²
=(x+y-3x+3y)²
=(-2x+4y)²
=[-2(x-2y)]²
=4(x-2y)²
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