Question

Factorize each of the following expression:
x⁴ − 625

Answer 1

$$\begin{gathered} x^4-625 \\ =(x^2{)}^2-{25}^2 \\ =(x^2+25\left)\right(x^2-25) \\ =(x^2+25\left)\right(x^2-5^2) \\ =(x^2+25\left)\right(x+5\left)\right(x-5) \end{gathered}$$