Factorize each of the following algebraic expression:
Question:

Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2

Solution:

$a^{2}+2 a b+b^{2}-c^{2}$

$=\left(a^{2}+2 a b+b^{2}\right)-c^{2}$

$=\left(a^{2}+2 \times a \times b+b^{2}\right)-c^{2}$

$=(a+b)^{2}-c^{2}$

$=[(a+b)-c][(a+b)+c]$

$=(a+b-c)(a+b+c)$