Question

Factorise
a⁶ + b⁶

Answer 1

$$\begin{gathered} a^6+b^6={\left(a^2\right)}^3+{\left(b^2\right)}^3 \\ =\left(a^2+b^2\right)\left[{\left(a^2\right)}^2-a^2{b}^2+{\left(b^2\right)}^2\right] \\ =\left(a^2+b^2\right)\left(a^4-a^2{b}^2+b^4\right) \end{gathered}$$