Factorize.
(i) $a^{4} - b^{4}$

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Solution

$a^{4} - b^{4}$

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

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

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

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