Question

Factorize each of the following expression:
256x⁵ − 81x

Answer 1

$$\begin{gathered} 256x^5-81x \\ =x(256x^4-81) \\ =x\left[\right(16x^2{)}^2-9^2] \\ =x(16x^2+9\left)\right(16x^2-9) \\ =x(16x^2+9\left)\right[(4x{)}^2-3^2] \\ =x(16x^2+9)(4x+3)(4x-3) \end{gathered}$$