Factorise the following. p^2-13 p-30 - Vidyadip

Question

Factorise the following.
$ p^2-13 p-30 $

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Answer

$ p^2-13 p-30 $
$ p^2-(15-2) p-30 $
$= p 2-15 p+2 p-30 $
$= p(p-15)+2(p-15) $
$= (p-15)(p+2) $

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