Question

Expand the following. (4 - 1/3x)^3​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

To Expand :(4-1/3x)³

Pre-requisite knowledge

(x-y)³ = x³- y³-3xy(x-y)

Solution:

      substitute values in it .

⇒ (4 - 1/3x)³ =

$4^3 -(\dfrac{1x}{3})^3 - 3*4*\dfrac{1x}{3}(4-\dfrac{1x}{3})\\\\\implies 64-\dfrac{x^3}{27}-4x(\dfrac{12-x}{3})\\\\\implies 64-\dfrac{x^3}{27}\dfrac{-48x+4x^2}{3} [taking\:L.C.M]\\\\\implies \dfrac{1728-x^3+9(-48x+4x^2)}{27}\\\\\implies\bold{ \dfrac{1728-x^3-432x+36x^2}{27}}$