Question

Factorize the following algebraic expression.
$a^2+14a+48$.

Answer 1

Given, $a^2+14a+48$
$\Rightarrow a^2+6a+8a+48$
$\Rightarrow a(a+6)+8(a+6)$
Take common $(a+6)$ from both terms, we get
$\Rightarrow (a+6)(a+8)$
Hence, The factor is $=(a+6)(a+8)$