Solve the following:
$(a + b) (a - b) (a^{2} + b^{2}) (a^{4} + b^{4})$

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Solution

$\begin{matrix} (a + b) (a - b) (a^{2} + b^{2}) (a^{4} + b^{4}) \Rightarrow (a^{2} - b^{2}) (a^{2} + b^{2}) (a^{4} + b^{4}) \Rightarrow (a^{4} - b^{4}) (a^{4} + b^{4}) [(a^{2} - b^{2}) = (a - b) (a + b)] (a^{8} - b^{8}) \end{matrix}$

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