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# Factorise the following expression p ^ 2+ 6p + 8

q5) Factorise the following expression

i)

$p^ 2 + 6 p + 8$

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We have,
$p^ 2 + 6 p + 8$ = $p^{2} + 2p + 4p + 8$
$= p(p + 2) + 4(p + 2)$
$=(p + 2)(p + 4)$
Therefore,
$p^ 2 + 6 p + 8$$=(p + 2)(p + 4)$

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