Factorise the following using identities.
$p^{2} + 8 p + 16$

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Solution

We have,

$\Rightarrow p^{2} + 8 p + 16$

$\Rightarrow p^{2} + 4 p + 4 p + 16$

$\Rightarrow p (p + 4) + 4 (p + 4)$

$\Rightarrow (p + 4) (p + 4)$
$\Rightarrow {(p + 4)}^{2}$

Hence, this is the answer.

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