Factorise the expression.
$a^{4} - b^{4}$

(a b) (a + b) (a^{2} + b^{2})

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

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(a - b) (a + b) (a^{3} + b^{2})

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(a - b) (a + b) (a^{2} + b^{3})

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Solution

The correct option is B $(a - b) (a + b) (a^{2} + b^{2})$
$a^{4} - b^{4}$ use the identity $(a^{2} - b^{2}) = (a + b) (a - b)$
$= (a^{2} + b^{2}) (a^{2} - b^{2})$
$= (a^{2} + b^{2}) (a + b) (a - b)$

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