How do you do?:
x^2+1
-----
x^4-1
Thanks!
Try to factor wherever you can so you can reduce as much as you can.
Factors of x^4 - 1 are (x^2 + 1)(x^2 - 1).
Now we have:
x^2 + 1
------------------
(x^2 + 1)(x^2 - 1)
Do you see a common factor to cancel out in both the numerator (top) and denominator (bottom) to reduce this fraction?
I hope this will help.
oh, wow, thanks
it would be x^2-1
You're welcome! That's correct. The common factor in both the numerator and denominator is x^2 - 1.
So now, after cancelling out the common factor, we have:
x^2 + 1
------------
(x^2 + 1)(x^2 - 1)
And since we cancelled out (x^2 + 1) in the numerator and denominator, we are left with:
1
----
(x^2 - 1)
Simplifying further, we know that x^2 - 1 can be factored as (x + 1)(x - 1). So the final simplified expression is:
1
----
(x + 1)(x - 1)
And that is the simplified form of the given expression.