Factorize the expression
$p^{2} + p q + p r + q r$

(p + q) (p + r)

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(p - q) (p + r)

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(p + q) (p - r)

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None of these

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Solution

The correct option is A $(p + q) (p + r)$
Given,
$p^{2} + p q + p r + q r$

Taking $p$ as common $|$ $r$ as common

$= p (p + q) + r (p + q)$

Taking $p + q$ as common, we get

$= (p + q) (p + r)$

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