Factorise the following using the identity a^2- b^2= (a + b)(a - … - Vidyadip

Question

Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$8a^3- 2a$

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Answer

$8a^3- 2a$
$= 2a(4a^2- 1)$
$= 2a[(2a)^2- (1)^2]$
$= 2a(2a + 1)(2a - 1)$

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