Question:
Factorise:
$2 x^{4}-32$
Solution:
$2 x^{4}-32$
$=2\left(x^{4}-16\right)$
$=2\left[\left(x^{2}\right)^{2}-4^{2}\right]$
$=2\left(x^{2}+4\right)\left(x^{2}-4\right) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$
$=2\left(x^{2}+4\right)\left(x^{2}-2^{2}\right)$
$=2\left(x^{2}+4\right)(x+2)(x-2) \quad\left[a^{2}-b^{2}=(a+b)(a-b)\right]$
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