Factorise:

Question:

Factorise:
3x5 − 48x3

Solution:

We have:

$3 x^{5}-48 x^{3}=3 x^{3}\left(x^{2}-16\right)$

$=3 x^{3}\left\{(x)^{2}-(4)^{2}\right\}$

$=3 x^{3}(x+4)(x-4)$

$\therefore 3 x^{5}-48 x^{3}=3 x^{3}(x+4)(x-4)$

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