Sum and product of coefficient binomials

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The discussion revolves around the possibility of expressing the sum and product of two coefficient binomials, \binom{a}{b} and \binom{c}{d}, as a single binomial coefficient. Participants suggest expanding both binomials before attempting to add or multiply them to find a unified expression. However, the original poster indicates that they did not find a satisfactory answer to their inquiry. The conversation highlights the complexity of manipulating binomial coefficients in this manner. Ultimately, the feasibility of expressing the sum and product as a single binomial remains unresolved.
Jhenrique
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Given two coefficient binomials \binom{a}{b} and \binom{c}{d} is possbile to express the sum and product those coefficient binomials as one other?
 
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Jhenrique said:
Given two coefficient binomials \binom{a}{b} and \binom{c}{d} is possbile to express the sum and product those coefficient binomials as one other?
Why don't you try answering your own question by expanding both and adding them or multiplying them?
 
I didn't find an satisfactory answer, anyway, thanks!
 

Thread 'Leibniz Rule Videos on Digital-University'

Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...
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