To Factorise : p^2+5p+6 By splitting the middle term → p^2+3p+2p+6 p(p+3)+2(p+3) (p+2)(p+3) So, p^2+5p+6=(p+2)(p+3) ...

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Factorising a Binomial

Factorise : ...

Question

Factorise :
$p^{2} + 5 p + 6$

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Solution

To Factorise : $p^{2} + 5 p + 6$
By splitting the middle term $\to$
$p^{2} + 3 p + 2 p + 6$
$p (p + 3) + 2 (p + 3)$
$(p + 2) (p + 3)$
So, $p^{2} + 5 p + 6 = (p + 2) (p + 3)$

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