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Addition and Subtraction of Algebraic Expression

Simplify 7...

Question

Simplify
$({7 x}^{2} - 2 x y - {6 y}^{2}) + ({9 y}^{2} + 12 x y - {12 x}^{2}) - (8 x y + {2 y}^{2} - {3 x}^{2})$

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Solution

$7 x^{2} - 2 x y - 6 y^{2} + 9 y^{2} + 12 x y - 12 x^{2} - 8 x y - 2 y^{2} + 3 x^{2}$
$\Rightarrow - 2 x^{2} + y^{2} + 2 x y$ .

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