Find the continued products :
$(i) (x + 2) (x - 2) (x^{2} - 4)$
(ii) $(a x + b) (a x - b) (a^{2} x^{2} + b^{2})$

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Solution

$1) (x + 2) (x - 2) (x^{2} - 4)$
$= (x^{2} - 4) (x^{2} - 4)$
$= x^{4} + 16 - 8 x^{2}$

$2) (a x + b) (a x - b) (a^{2} x^{2} + b^{2})$
$= (a^{2} x^{2} - b^{2}) (a^{2} x^{2} + b^{2})$
$= a^{4} x^{4} - b^{4}$

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