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.

You can repost in the proper homework section here https://www.physicsforums.com/#homework-help.260

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.
 
Greetings to all forum members! I am Güray Hatipoğlu, currently owning a start-up limited company on scientific research (FIRE Research & Training Ltd.), knowledge transfer, and training. I am also publishing Science Ascend (ISSN: 3062-0090), currently focusing on astrophysics only. I graduated from Chemistry in Middle East Technical University, Türkiye in 2016, finished my M.Sc. in Earth System Science department of the same university on hypothetical finite difference/element models for...

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