Question

Factorize each of the following expression:
16a⁴ − b⁴

Answer 1

$$\begin{gathered} 16a^4-b^4 \\ =(4a^2{)}^2-(b^2{)}^2 \\ =(4a^2+b^2)(4a^2-b^2) \\ =(4a^2+b^2)\left[\right(2a{)}^2-b^2] \\ =(4a^2+b^2\left)\right(2a+b\left)\right(2a-b) \end{gathered}$$