Thread: Problem With Binomial Coefficients

Hello,

I am trying to solve the following problem:

"Find the term independent of x in ."

I think this formula applies, but I am not sure where to begin: .

Can anyone help with this question?

Do you mean:

?

Originally Posted by MarkFL2

Do you mean:

?

Correct! Sorry about that!

Okay, the binomial theorem tells us the general term in this expansion will be:



Now, in order for this term to be independent of x, to what must the exponent on x be equal?

Originally Posted by MarkFL2

Okay, the binomial theorem tells us the general term in this expansion will be:



Now, in order for this term to be independent of x, to what must the exponent on x be equal?

0, correct? Therefore, would k be 2?

Yes, correct on both counts!

So, what would the value of that term be?

Originally Posted by MarkFL2

Yes, correct on both counts!

So, what would the value of that term be?

It would be ?

Thanks!

Yes, correct again!