Question

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

Answer 1

$$\begin{gathered} a^2+2ab+b^2-c^2 \\ =(a^2+2ab+b^2)-c^2 \\ =(a^2+2\times a\times b+b^2)-c^2 \\ =(a+b{)}^2-c^2 \\ =[(a+b)-c\left]\right[(a+b)+c] \\ =(a+b-c\left)\right(a+b+c) \end{gathered}$$