Question

if x minus one by x =3 evaluate x cube minus one by x cube

Answer 1

Answer:

I guess it will help you

Answer 2

Answer:

36

Step-by-step explanation:

$x - \dfrac{1}{x} = 3\\\\\\\text{Cubing both sides, we have,}\\\\\\\left( x - \dfrac{1}{x} \right) ^3 = 3^3\\\\\\\implies x^3 - \dfrac{1}{x^3} - 3(x) \left( \dfrac{1}{x} \right) \left( x - \dfrac{1}{x} \right) = 27\\\\\\\implies x^3 - \dfrac{1}{x^3} - 3(3) = 27\\\\\\\implies \boxed{x^2 - \dfrac{1}{x^3} = 27  + 9 = \boxed{\bold{36}}}$