SOLUTION: I know what I am supposed to do, and if I could find the LCD, I could solve the problem, but for the life of me, I am drawing a blank on how to factor (n^4 -1)

Algebra.Com
Question 94670: I know what I am supposed to do, and if I could find the LCD, I could solve the problem, but for the life of me, I am drawing a blank on how to factor (n^4 -1)
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Factor:
Notice that , so now you can write:
The difference of two squares can be factored: Applying this to your problem:
but again, we have the difference of two squares in the second factor, so...
we would normally stop here, because the factors of involve the imaginary number
If you are interested though:
but don't use this if you have not yet come to imaginary numbers.

RELATED QUESTIONS

Okay, I asked this one Friday and nobody got back to me so I am asking it again. Here is... (answered by checkley71,nycsharkman)
Okay, I asked this one Friday and nobody got back to me so I am asking it again. Here is... (answered by jim_thompson5910)
This is the problem I'm having trouble with: "Find the value of each variable and the... (answered by Theo)
Please help. I am stuck on this problem. I have a partial solution I think but I am not... (answered by scianci)
If you could please help point me in the right direction!!! I need to solve this rational (answered by Mathtut,solver91311)
I am having problems with understanding how to solve equations that involve LCD. Such as... (answered by ankor@dixie-net.com)
4/2x^2-9x-35 and 3/4x^2+20x+25 I need to find the lcd of these two, (answered by Alan3354)
Hello, I am in need of help. I have this problem on an optional assignment, and I cannot... (answered by macston)
I am doing quadratic equations, the problem is {{{ X^2-x-12 }}} I understand most of it... (answered by Alan3354,jim_thompson5910)