Simplify: $2(x^2 - y^2 +xy) -3(x^2 +y^2 -xy)$.

Given:

$2(x^2 - y^2 +xy) -3(x^2 +y^2 -xy)$.
To do:

We have to simplify the given expression.
Solution:
 $2(x^2 - y^2 +xy) -3(x^2 +y^2 -xy)=2x^2-2y^2+2xy-3x^2-3y^2-3(-xy)$

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

$=-x^2-5y^2+5xy$

Therefore,

 $2(x^2 - y^2 +xy) -3(x^2 +y^2 -xy)=-x^2-5y^2+5xy$.

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Updated on: 10-Oct-2022

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