Question

If x-1/x=3.find the value of x3-1/x3

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Answer 2

Answer:

$Using \: \: the \: \: identity : \\ {(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b) \\ Here, \\ a = x \\ b = \frac{1}{x}$

Step-by-step explanation:

$x - \frac{1}{x} = 3 \\ \\ {x}^{3} - \frac{1}{ {x}^{3} } = {3}^{3} \\ {x}^{3} - \frac{1}{ {x}^{3} } = 27 \\ {x}^{3} - \frac{1}{ {x}^{3} } -( 3 \times \cancel x \times \frac{1}{ \cancel x} )(x - \frac{1}{x} ) = 27 \\ {x}^{3} - \frac{1}{ {x}^{3} } - 3(3) = 27 \\ {x}^{3} - \frac{1}{ {x}^{3} } - 9 = 27 \\ {x}^{3} - \frac{1}{ {x}^{3} } = 27 + 9 \\ \boxed{ \large {x}^{3} - \frac{1}{ {x}^{3} } = \underline{ \underline{ 36}}}$