Hello,

I was wondering if there is any way to simplify

$\displaystyle \frac{1}{(x^3 + 2)^7} -\frac{(x^3 + 2)^7}{(x^8 + 12)^6} $

Thanks!

Printable View

- Jul 14th 2011, 02:48 AMcangersimplifying fractions by common denomonators
Hello,

I was wondering if there is any way to simplify

$\displaystyle \frac{1}{(x^3 + 2)^7} -\frac{(x^3 + 2)^7}{(x^8 + 12)^6} $

Thanks! - Jul 14th 2011, 03:25 AMProve ItRe: simplifying fractions by common denomonators
You could always start by getting a common denominator...

- Jul 14th 2011, 08:53 PMcangerRe: simplifying fractions by common denomonators
I can't figure out how to get lowest common denominator.

I'm confused because of the powers. - Jul 14th 2011, 08:56 PMmr fantasticRe: simplifying fractions by common denomonators
- Jul 14th 2011, 09:09 PMcangerRe: simplifying fractions by common denomonators
So what about the LCD for $\displaystyle {-\frac{(x^2 + 1)^{\frac{1}{2}}}{(x^2 +4)} + {\frac{1}{(x^2 + 1)^{\frac{1}{2}}}}} $

Can you do anything better with that one? - Jul 14th 2011, 09:14 PMmr fantasticRe: simplifying fractions by common denomonators
- Jul 14th 2011, 09:22 PMcangerRe: simplifying fractions by common denomonators
Do I have to work out the square root of $\displaystyle x^2 + 1 $? Because that would bring complex numbers into it, wouldn't it? And we aren't covering those in my course.

Otherwise, how can I multiply these terms when they aren't the same? It's just the $\displaystyle x^2 $ that's the same...? - Jul 15th 2011, 01:54 PMmr fantasticRe: simplifying fractions by common denomonators