Simplify:
$4 a^{2} - 6 b^{2} + 8 a b - 2 a^{2} + 8 b^{2} + 13 a b$

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Solution

$4 a^{2} - 6 b^{2} + 8 a b - 2 a^{2} + 8 b^{2} + 13 a b$

combining similar terms.

$(4 a^{2} - 2 a^{2}) + (8 a b + 13 a b) -$ $(6 b^{2} - 8 b^{2})$

$= (2 a^{2}) + (21 a b) - (- 2 b^{2})$

$= 2 a^{2} + 21 a b - 2 b^{2}$

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