Question

Find the product:

(x⁴ + y⁴)(x² − y²)

Answer 1

$$\begin{gathered} ({\mathrm{x}}^4+{\mathrm{y}}^4)({\mathrm{x}}^2-{\mathrm{y}}^2) \\ ={\mathrm{x}}^4\times ({\mathrm{x}}^2-{\mathrm{y}}^2)+{\mathrm{y}}^4\times ({\mathrm{x}}^2-{\mathrm{y}}^2) \\ =({\mathrm{x}}^4\times {\mathrm{x}}^2-{\mathrm{x}}^4\times {\mathrm{y}}^2)+({\mathrm{y}}^4\times {\mathrm{x}}^2-{\mathrm{y}}^4\times {\mathrm{y}}^2) \\ ={\mathrm{x}}^6-{\mathrm{x}}^4{\mathrm{y}}^2+{\mathrm{x}}^2{\mathrm{y}}^4-{\mathrm{y}}^6 \end{gathered}$$