SOLUTION: Given that x^2^n=8, find the value of the expression 3x^4^n-x^2^n-2. Thanks for your help.

Algebra ->  Equations -> SOLUTION: Given that x^2^n=8, find the value of the expression 3x^4^n-x^2^n-2. Thanks for your help.      Log On


   

Question 945873: Given that x^2^n=8, find the value of the expression 3x^4^n-x^2^n-2. Thanks for your help.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given that %28x%5E2%29%5En=8, (at least I guess you have that)
find the value of the expression 3%28x%5E4%29%5En-%28x%5E2%29%5E%28n-2%29 (at least I guess you have that)
%28x%29%5E%282n%29=8

3%28x%29%5E%284n%29-%28x%29%5E%282%28n-2%29%29
3%28x%29%5E%282n%29%28x%29%5E%282n%29-x%5E%282n-4%29

3%28x%29%5E%282n%29%28x%29%5E%282n%29-x%5E%282n%29%2Fx%5E4 ....substitute %28x%29%5E%282n%29=8

3%2A8%2A8-8%2Fx%5E4

192-8%2Fx%5E4