Hello!

(((l+1)^2)/((2l+1)*(2l+3))) + ((l*(l+1))/(2*(2l+1))) - Wolfram|Alpha

I can't solve, how to get the Alternate form from the Input one on the link. Please somebody help me, step-by step to understand, how do the calculator did it.

Thanks :)

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- Oct 14th 2012, 05:20 AMCreephunSteps between 2 forms of divisons
Hello!

(((l+1)^2)/((2l+1)*(2l+3))) + ((l*(l+1))/(2*(2l+1))) - Wolfram|Alpha

I can't solve, how to get the Alternate form from the Input one on the link. Please somebody help me, step-by step to understand, how do the calculator did it.

Thanks :) - Oct 14th 2012, 06:09 AMtopsquarkRe: Steps between 2 forms of divisons
Here's a "road map" for you.

I'm going to relabel your "l" since it looks so much like a "1". I'll call it x.

It looks like

I'm going to do a lot of factoring here. You can do it by the brute force method, but the factoring approach is a bit easier to see. So let's factor what we can here.

Fractions and instructions to simplify. Let's get some common denominators and do another factorization.

Combining terms and factoring the numerator (on the right side brackets) gives

and canceling the common terms we finally get

-Dan - Oct 14th 2012, 06:48 AMCreephunRe: Steps between 2 forms of divisons
Thank you very much!