Question

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

Answer 1

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