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Polynomial and Its General Form

Evaluate: 9x...

Question

Evaluate:
$9 x^{2} - 4 (y + 2 x)^{2}$

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Solution

$9 x^{2} - 4 (y + 2 x)^{2}$
$= 9 x^{2} - (4 x + 2 y)^{2}$
$= (3 x)^{2} - (4 x + 2 y)^{2}$
$= (3 x - 4 x - 2 y) (3 x + 2 y + 4 x)$
$(- x - 2 y) (7 x + 2 y)$

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