If , then find the value of

1.	If , then find the value of
Answer» $\large\underline{\sf{We \ have}}$ $\sf{x - \frac{1}{x} = 3}$ $\large\underline{\sf{To \ find}}$ $\sf{the \ <klux>VALUE</klux> \ of {x}^{3} - \frac{1}{{x}^{3}}}$ $\large\underline{\sf{On \ cubing \ both \ side}}$ $\sf{{(x - \frac{1}{x})}^{3} = {(3)}^{3}}$ $\large\underline{\sf{Using \ identity}}$ $\fbox{\sf{(a - b)³ = a³ - b³ - 3ab (a - b)}}$ $\sf{x³ - \frac{1}{x³} - 3 (x - \frac{1}{x}) = 27}$ $\sf{x³ - \frac{1}{x³} - 3(3) = 27}$ $\sf{x³ - \frac{1}{x³} - 9 = 27}$ $\sf{x³ - \frac{1}{x³} = 27 + 9}$ $\sf{x³ - \frac{1}{x³} = 36}$ The Value of $\sf\green{x³ - \frac{1}{x³} = 36}$ #NAWABZAADI

Answer»

$\large\underline{\sf{We \ have}}$