Question

Factorize each of the following expression:
(x + y)² − (a − b)²

Answer 1

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