What should be added to x² + xy + Y ²to obtain 2x²+ 3 xy

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Solution

Let t has to be added to get 2x^2 + 3xy.

So , (x^2 + xy + y^2 ) + t = 2x^2 + 3xy

=> t = (2x^2 + 3xy) - (x^2 +xy +y^2)

= ( 2x^2 - x^2) + (3xy - xy) - y^2

= x^2 + 2xy - y^2

So (x^2 + 2xy - y^2) has to be added.

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