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Factorisation by Regrouping Terms

Factorize: p...

Question

Factorize:
$p^{2} + p - (a + 2) (a + 1)$ .

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Solution

Now,
$p^{2} + p - (a + 2) (a + 1)$
$= p^{2} + p {(a + 2) - (a + 1)} - (a + 2) (a + 1)$
$= p (p + a + 2) - (a + 1) (p + a + 2)$
$= (p + a + 2) (p - a - 1)$ .

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