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.
 
Hi everyone, I'm just a physics enthusiast. I took some first-year courses a long time ago, but I wasn't able to continue, so I don't have a degree. Still, I'm really passionate about the subject and try to keep up with it as much as I can. I mostly study in my (limited) free time, going through books I didn’t get the chance to read when I was younger. Thanks for your attention!
Hello everyone, I'm AlexR, a passionate physics enthusiast from Wisconsin, USA. I've been fascinated by the wonders of the universe for as long as I can remember, and I'm excited to join this community to deepen my understanding and engage in insightful discussions. Background: I hold a Bachelor’s degree in Physics, and my journey into physics began during my academic years. Over time, my interest has expanded to various areas, including: Classical Mechanics: Exploring the foundational...

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