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.
 
Hello fellow Physics enthusiasts, I am an aeronautical engineering graduate (Bachelor's) who is interested in Physics and Mathematics, and I have been re-learning all the basics. I wanted to join a science forum, especially one dedicated to Physics and maths, to apply these subjects to my engineering studies. I hope to learn a lot through this forum. Thank you for your warm welcome.

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