已知(x+y)^2-2x-2y+1=0,求2x^2+2xy+3y^2-2x-3y
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已知(x+y)^2-2x-2y+1=0,求2x^2+2xy+3y^2-2x-3y
题目应是 已知(x+y)^2-2x-2y+1=0,求2x^2+5xy+3y^2-2x-3y
已知(x+y)^2-2x-2y+1=0,
(x+y)^2-2(x+y)+1=0
(x+y-1)^2=0
x+y-1=0
x+y=1
2x^2+5xy+3y^2-2x-3y
=2(x^2+2xy+y^2)+xy+y^2-2x-3y
=2(x+y)^2+(x+y)y-2x-3y
=2+y-2x-3y
=2-2x-2y
=2-2(x+y)
=2-2
=0
已知(x+y)^2-2x-2y+1=0,
(x+y)^2-2(x+y)+1=0
(x+y-1)^2=0
x+y-1=0
x+y=1
2x^2+5xy+3y^2-2x-3y
=2(x^2+2xy+y^2)+xy+y^2-2x-3y
=2(x+y)^2+(x+y)y-2x-3y
=2+y-2x-3y
=2-2x-2y
=2-2(x+y)
=2-2
=0
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