Question

Factorize each of the following expression:
x⁴ − 1

Answer 1

$$\begin{gathered} x^4-1 \\ =(x^2{)}^2-1 \\ =(x^2+1\left)\right(x^2-1) \\ =(x^2+1\left)\right(x+1\left)\right(x-1) \end{gathered}$$