Question

factorise x³-1 divided by x³

Answer 1

$$\begin{gathered} x^3-\frac{1}{x^3} \\ ={\left(x\right)}^3-{\left(\frac{1}{x}\right)}^3 \\ =\left(x-\frac{1}{x}\right)\left(x^2+\frac{1}{x^2}+x\times \frac{1}{x}\right) \\ =\left(x-\frac{1}{x}\right)\left(x^2+\frac{1}{x^2}+1\right) \end{gathered}$$