What is the Expansion of Binomials into a Series?

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The discussion focuses on the expansion of binomials into a series, specifically addressing the use of binomial coefficients. Participants clarify that if the terms in question are indeed binomial coefficients, they can be expanded using their definitions. There is confusion regarding the problem presented, as one user expresses difficulty in identifying a series within the exercise. The conversation emphasizes the need for clear definitions to assist in the expansion process. Understanding binomial coefficients is crucial for successfully expanding binomials into a series format.
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1. What is the expansion of


/n\ /n\
\a/ \b/
 
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Are those "binomial coefficients"? If so, just use the definition of "binomial coefficients" to xpand each one. If theoy are not, then you will have to tell us hat they mean before we can help!
 
HallsofIvy said:
Are those "binomial coefficients"? If so, just use the definition of "binomial coefficients" to xpand each one. If theoy are not, then you will have to tell us hat they mean before we can help!

I picked that problem out of my excercise book. It asks me to expand the binomials into the form of a series

But I see no series only multiplication :frown::cry:
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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