Question

Factorise the following trinomials:
$a^2+2a+1$

Answer 1

Solution:-

$a^2+2a+1$

$=a^2+a+a+1$

$=a(a+1)+1(a+1)$

$=(a+1)(a+1)$

Hence the factors of $a^2+2a+1$ are $(a+1)$ and $(a+1)$.