(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Does anyone know a generic way of showing that a field is closed under multiplication and addition? Please, thanks

2. Relevant equations

3. The attempt at a solution

Just need to prove that a+b and ab are in the field that each element a and b are from. Any ideas??

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# Proof of closure under addition and multiplication in a field

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