Question

Factorize:
8 − 4a − 2a³ + a⁴

Answer 1

We have:
$$\begin{gathered} 8-4a-2a^3+a^4=\left(8-4a\right)-\left(2a^3-a^4\right) \\ =4\left(2-a\right)-a^3\left(2-a\right) \\ =\left(2-a\right)\left(4-a^3\right) \end{gathered}$$