Question

if x+1/x=5 find the value of x3+1/x3

Answer 1

Answer:

the answer is 110

refer to the attachment for the solution.

Step-by-step explanation:

formula

${(a + b)}^{3} = {a}^{ 3} + {b}^{3} + 3ab(a + b)$

Answer 2

Answer - 110

Step-by-step explanation:

Taking,

$(x + \frac{1}{x})^{3} = ( {5}^{3}) \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3 \times x \times \frac{1}{x} (x + \frac{1}{x} ) = 125 \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3 \times 5 = 125 \\ {x}^{3} + \frac{1}{ {x}^{3} } = 125 - 15 = 110$