Factorise: a^2+6 a-91 - Vidyadip

Question

Factorise:
$a^2+6 a-91$

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Answer

$a^2+6 a-91$
$=a^2+13 a-7 a-91$
$\{-91=13 \times(-7), 6=13-7\}$
$=a(a+13)-7(a+13)$
$=(a+13)(a-7)$

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