If x−1x=2 then find x3−1x3
I can't remember how to solve this problem, but I'm pretty sure the answer is 14.
Nevermind, I do remember how to solve this.
First let's cube x−1x=2
(x−1x)3=23
x3−3x+3x−1x3=8
x3−1x3=8+3(x−1x)
x3−1x3=8+3(2)
x3−1x3=14