Question

Factorize:
$a^2+14a+49$

Answer 1

Given expression is $a^2+14a+49$

It can factorised as

$a^2+14a+49=a^2+7a+7a+49$

$=a(a+7)+7(a+7)$

$=(a+7{)}^2$

Thus factors are $(a+7),(a+7)$.