Find the product of $(a + 2 b)$ and $(a - 2 b)$ .

$a^{2} + 4 b^{2}$

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$a^{2} - 4 b^{2}$

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

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$- a^{2} - 4 b^{2}$

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Solution

The correct option is B
$a^{2} - 4 b^{2}$

$(a + 2 b) (a - 2 b)$
$\Rightarrow a (a - 2 b) + 2 b (a - 2 b)$
$\Rightarrow a^{2} - 2 a b + 2 b a - 4 b^{2}$

$\Rightarrow a^{2} - 2 a b + 2 a b - 4 b^{2}$

$\Rightarrow a^{2} - 4 b^{2}$

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