Question

Factorize:
x⁴ − 625

Answer 1

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