Hi,

I am having difficulties simplifying the expression .

To obtain like denominators,

Printable View

- November 1st 2013, 05:33 PMSC313Simplifying Expression with Like Denominators and Factorials
Hi,

I am having difficulties simplifying the expression .

To obtain like denominators, - November 1st 2013, 05:43 PMemakarovRe: Simplifying Expression with Like Denominators and Factorials
Since (k+1)! = (k+1)k! = (k+1)k(k-1)!,

- November 1st 2013, 05:52 PMSC313Re: Simplifying Expression with Like Denominators and Factorials
Hi,

The answer according to Maple is .

Is it wrong? - November 1st 2013, 06:08 PMemakarovRe: Simplifying Expression with Like Denominators and Factorials
- November 1st 2013, 06:26 PMSC313Re: Simplifying Expression with Like Denominators and Factorials
Could you please explain? I still am confused.

- November 1st 2013, 06:28 PMemakarovRe: Simplifying Expression with Like Denominators and Factorials
Have you reviewed and understood the definition of factorial?

- November 1st 2013, 06:34 PMSC313Re: Simplifying Expression with Like Denominators and Factorials
Yes, n! is defined for a positive integer n as n!=n(n-1)...2*1.

Is that not what you mean? - November 1st 2013, 06:41 PMemakarovRe: Simplifying Expression with Like Denominators and Factorials
Yes, that what I meant. So, if you understand the definition, how can you not see that

? - November 1st 2013, 06:46 PMPlatoRe: Simplifying Expression with Like Denominators and Factorials
- November 1st 2013, 08:33 PMSC313Re: Simplifying Expression with Like Denominators and Factorials
- November 1st 2013, 08:47 PMSlipEternalRe: Simplifying Expression with Like Denominators and Factorials

Example:

Edit: In other words, they already had like denominators, but

So, if you multiply by , you don't get . - November 1st 2013, 09:47 PMProve ItRe: Simplifying Expression with Like Denominators and Factorials