Solve the following.

If $$x-\frac{1}{x}=3$$​, then $$x^3-\frac{1}{x^3}=$$​ ?

Correct option is B

Given:

​$$x - \frac{1}{x} = 3$$​​

We need to find $$x^3 - \frac{1}{x^3}.$$​​

Formula Used:

​$$x^3 - \frac{1}{x^3} = \left( x - \frac{1}{x} \right)^3 + 3 \left( x - \frac{1}{x} \right)$$​​

Solution:

​$$x^3 - \frac{1}{x^3} = \left( 3 \right)^3 + 3 \times 3 = 27 + 9 =36$$​​