State whether the statement is true (T) or false (F).
Factorized form of $p^{2} + 30 p + 216$ is $(p + 18) (p - 12)$ .

True

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False

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Solution

The correct option is B False
Factorizingthe given expression by splitting the middle term,
$p^{2} + 30 p + 216$
$= p^{2} + 18 p + 12 p + 216$
$= p (p + 18) + 12 (p + 18)$
$= (p + 12) (p + 18)$

Clearly, $(p + 12) (p + 18) \neq (p + 18) (p - 12)$
Hence, the fiven statement is false.

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