Question

Find the product:

(x² − a²)(x −a)

Answer 1

$$\begin{gathered} ({\mathrm{x}}^2-{\mathrm{a}}^2)(\mathrm{x}-\mathrm{a}) \\ ={\mathrm{x}}^2\times (\mathrm{x}-\mathrm{a})-{\mathrm{a}}^2\times (\mathrm{x}-\mathrm{a}) \\ =({\mathrm{x}}^2\times \mathrm{x}-{\mathrm{x}}^2\times \mathrm{a})-({\mathrm{a}}^2\times \mathrm{x}-{\mathrm{a}}^2\times \mathrm{a}) \\ ={\mathrm{x}}^3-{\mathrm{ax}}^2-{\mathrm{a}}^2\mathrm{x}+{\mathrm{a}}^3 \end{gathered}$$