Factorize each of the following algebraic expression:
Question:
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Solution:
$a^{2}+2 a b+b^{2}-16$
$=a^{2}+2 \times a \times b+b^{2}-16$
$=(a+b)^{2}-4^{2}$
$=(a+b-4)(a+b+4)$