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Factorisation by Common Factors

Factorize: 3...

Question

Factorize:
$3 + 2 a - a^{2}$

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Solution

$3 + 2 a - a^{2}$
$= 3 + 3 a - a - a^{2}$
$= 3 (1 + a) - a (1 + a)$
$= (3 - a) (1 + a)$
Therefore
$3 + 2 a - a^{2} = (3 - a) (1 + a)$

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