Question 74

In the following question, state whether the statement is True (T) or False (F):

Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

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Solution

False
We have,
$p^{2} + 30 p + 216 = p^{2} + (12 + 18) p + 216$
$= p^{2} + 12 p + 18 p + 216$ [by splitting the middle term]
$= p (p + 12) + 18 (p + 12)$
$= (p + 18) (p + 12)$

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p^{2} + 30 p + 216

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