Important help on the subject of polynomials of binomial arrangement

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Hi, everyone
It is known that binomial distribution can also be solved by polynomials. i add document with a question I can not solve.

Glad to get for help

Thanks to all the respondents
 

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Welcome issue, in order to get help with this it would be better if it was posted in the Homework section, even if it's not actually homework. General Discussion is not the place for it.

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Be sure to fill out the template provided an show what you have already done to solve the problem yourself so that people know what you've already tried and where they should start.
 
Hello there, and nice to meet all of you! My name is Olga, I am from Russia. I have a PhD in laser physics, and I work at the local university. I study chalcogenide lasers. I am a pure experimentalist, and I love working with my hands, et cetera, and I do math only when I have to. Sometimes I work with biologists. I do nothing exciting in research, and after my defence, I hardly can call myself a scientist because we have a lack of financial support, and most of my time I spend on teaching...

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