Question

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

Answer 1

Given: $a^2+14a+48$
On splitting the middle term , we get
$a^2+8a+6a+48$
$=a(a+8)+6(a+8)$
$=(a+6)(a+8)$

Hence, $a^2+14a+48=(a+6)(a+8)$