Boolean algebra proof (a+b) (a+c)' = a'bc'

Question

I have to prove that (a+b) (a+c)' = a'bc'

My algebra skills are really rusty and I was wondering what identities are used to solve this so I can get a better understanding

Answer 1

Hint: Use De Morgen's law on $(a+c)'$, and then distribute and over or. One of the resulting terms should vanish.