Question

x+1/x=6 find the value of x x^3+1/x^3

Answer 1

Answer:

${x}^{3} + \frac{1}{ {x}^{3} } = 198$

Step-by-step explanation:

$x + \frac{1}{x} = 6 \\ \\ \\ \\ {(x + \frac{1}{x}) }^{3} = {x}^{3} + \frac{1}{ {x}^{3} } + 3x( \frac{1}{x} )(x + \frac{1}{x} ) \\ \\ {6}^{3} = {x}^{3} + \frac{1}{ {x}^{3} } + 3(6) \\ \\ 216 - 18 = {x}^{3} + \frac{1}{ {x}^{3} } \\ \\ \\ {x}^{3} + \frac{1}{ {x}^{3} } = 198$