If $\frac{x^2-1}{x}= 8, $then what is the value of $\frac{x^6 -1}{x^3}= ?$
Answer & explanation
Correct answer: option 2
If x - \(\frac{1}{x}\) = n
then, $x^3 - \frac{1}{x^3}$ = n3 + 3 × n
$\frac{x^2-1}{x}$ = x - \(\frac{1}{x}\) = 8
what is the value of $\frac{x^6 -1}{x^3}= ?$
x3 - \(\frac{1}{x^3}\) = 83 + 3 × 8
x3 - \(\frac{1}{x^3}\) = 536