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Binomial Expansion watch

1. I have the fraction .

Now, I have the solution to the binomial expansion of , and I need to use it to find the solution to the formerly mentioned fraction. I believe I could do this if I understood how to get this fraction in a form similar to the first, or in the form . The problem lies in the fact that I don't know how to do this when both the numerator and denominator of the fraction are algebraic. Could explain how I would convert this?
2. (Original post by Illidan2)
I have the fraction .

Now, I have the solution to the binomial expansion of , and I need to use it to find the solution to the formerly mentioned fraction. I believe I could do this if I understood how to get this fraction in a form similar to the first, or in the form . The problem lies in the fact that I don't know how to do this when both the numerator and denominator of the fraction are algebraic. Could explain how I would convert this?
The expansion you're looking for is (2x-1) times the one you've already found.

So, if you have , multiplying by 2x-1 we have and simply expand the brackets.
3. (Original post by ghostwalker)
The expansion you're looking for is (2x-1) times the one you've already found.

So, if you have , multiplying by 2x-1 we have and simply expand the brackets.
Of course! Now that you've said it, it's become so clear. Can't believe I missed something so obvious. Thank you!

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Updated: February 5, 2018
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