What should be subtracted from x + xy + y^2 to obtain 2x^2 + 3xy?
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Let "a" be added to x^2 + xy +y^2 to obtain 2x^2 + 3xy
So a = 2x^2 + 3xy - (x^2 + xy + y^2)
= 2x^2 + 3xy - x^2 -xy - y^2
= x^2 + 2xy - y^2.
So x^2 + 2xy - y^2 must be added.
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