Question

Find the product:

(x³ − y³)(x² + y²)

Answer 1

$$\begin{gathered} ({\mathrm{x}}^3-{\mathrm{y}}^3)({\mathrm{x}}^2+{\mathrm{y}}^2) \\ ={\mathrm{x}}^3\times ({\mathrm{x}}^2+{\mathrm{y}}^2)-{\mathrm{y}}^3\times ({\mathrm{x}}^2+{\mathrm{y}}^2) \\ =({\mathrm{x}}^3\times {\mathrm{x}}^2+{\mathrm{x}}^3\times {\mathrm{y}}^2)-({\mathrm{y}}^3\times {\mathrm{x}}^2+{\mathrm{y}}^3\times {\mathrm{y}}^2) \\ ={\mathrm{x}}^5+{\mathrm{x}}^3{\mathrm{y}}^2-{\mathrm{x}}^2{\mathrm{y}}^3-{\mathrm{y}}^5 \end{gathered}$$