Sum and product of coefficient binomials

[Jhenrique]

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?

 

[Mark44]

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?

 

[Jhenrique]

I didn't find an satisfactory answer, anyway, thanks!