Factors of $a^{6} - b^{6}$ is/are

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Solution

given, $a^{6} - b^{6}$

$= (a^{3})^{2} - (b^{3})^{2}$

$= (a^{3} + b^{3}) (a^{3} - b^{3})$

$= (a + b) (a^{2} + b^{2} - a b) (a - b) (a^{2} + b^{2} + a b)$

Hence, factors of $a^{6} - b^{6}$ are $(a + b), (a - b), (a^{2} + b^{2} + a b), (a^{2} + b^{2} - a b)$ .

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a^{6} - b^{6}

On Resolving $a^{6} - b^{6}$ into factors give $(a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ .

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