Question

If (1/x + x) = 8, What will be the value of (x^3 + 1/x^3)?

if`(1/x + x)=8`
find `(x^3 + 1/x^3)`

Answer 1

`rarrx+1/x=8`

`rarrx^3+(1/x)^3`

`=(x+1/x)^3-3*x*(1/x)*(x+1/x)`

`=8^3-3*8=488`