作业帮x^2+xy=12,xy+y^2=15,求(x+y)^2-(x+y)(x-y)
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x^2+xy=12,xy+y^2=15,求(x+y)^2-(x+y)(x-y)
x^2+xy=12,xy+y^2=15,求(x+y)^2-(x+y)(x-y)
x^2+xy=12,xy+y^2=15,求(x+y)^2-(x+y)(x-y)
(x+y)^2-(x+y)(x-y)
=x²+2xy+y²-x²+y²
=2(xy+y²)
=2×15
=30
(x+y)^2-(x+y)(x-y)
=(x+y)(x+y-x+y)
=2y(x+y)
xy+y²=y(x+y)=15
∴原式=2×15=30
3X^2+XY+Y=15 求XY.
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