Factorise the following.
$256 a^{8} - b^{8}$ .

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Solution

$\begin{matrix} {(2 a)}^{8} - {(b)}^{8} {[{(2 a)}^{2}]}^{2} - {b^{4}}^{2} [a^{2} - b^{2} = (a + b) (a - b)] {{(2 a)}^{4} - b^{4}} {(2 a)^{4} + b^{2}} [{{(2 a)}^{2}}^{2} - (b^{2})] (16 a^{4} + 64) {{(2 a)}^{2} - b^{2}} {{(2 a)}^{2} + b^{2}} (16 a^{4} + b^{4}) (2 a - b) (2 a + b) (4 a^{2} + b^{2}) (16 a^{4} + b^{4}) \end{matrix}$

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Factorise the following.256a8−b8.

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Factorise the following.
$256 a^{8} - b^{8}$ .