How much does $- 5 a^{2} + 3 a - 5 b^{2}$ exceed $7 a^{2} + 4 a - 9 b^{2}$ ?

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Solution

$- 5 a^{2} + 3 a - 5 b^{2} - 7 a^{2} - 4 a + 9 b^{2}$
$- 12 a^{2} - a + 4 b^{2}$

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a^{4} - 3 a^{2} b^{2} + b^{4}

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