计算：(x+y)²-4(x+y)(x-y)+4(x-y)²

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计算：(x+y)²-4(x+y)(x-y)+4(x-y)²
2.已知x=y=5,xy=-6,求3x²+3y²

(x+y)²-4(x+y)(x-y)+4(x-y)²
=[(x+y)-2(x-y)]²
=(x+y-2x+2y)²
=(-x+3y)²
=x²-6xy+9y²
已知x+y=5,xy=-6,求3x²+3y²
3x²+3y²
=3(x²+y²)
=3[(x+y)²-2xy]
=3×(25+12)
=111

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