Question

factorise it
(1) 3x3- 48 x
​

Answer 1

=3x3 - 48x

=9x - 48x

= -39x

Answer 2

Answer:

$\boxed{\underline{\Huge{\texttt{3x(x+4)(x-4)}}}}$

Step-by-step explanation:

$3x^3 - 48x\\\\\implies 3x(x^2)-48x\\\\\implies 3x(x^2)+3x(-16)\\\\\implies 3x(x^2-16)\\\\\text{Rewrite 16 as 4}^\text{2}\text{.}\\\\\implies 3x(x^2-4^2)\\\\\text{Since both terms are perfect squares, factor using the difference of squares formula, } a^2-b^2=(a+b)(a-b) \text{ where a = x and b = 4.}\\\\\implies 3x((x+4)(x-4))\\\\\text{Remove unnecessary parentheses.}\\\\\bold{3x(x+4)(x-4)}$