Find the product
(i) $(a + 1) (a - 1) (a^{2} + 1)$

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Solution

As we know that,
$(a + b) (a - b) = a^{2} - b^{2}$
Therefore,
$(a + 1) (a - 1) (a^{2} + 1)$
$= (a^{2} - 1^{2}) (a^{2} + 1)$
$= ({(a^{2})}^{2} - 1^{2})$
$= a^{4} - 1$

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