Boolean Expression - ((a'.b)'+c')' + (a'+(b'.c)')'

Question

I'm trying out one of the exercise, but not sure whether did I get the answer right, is the answer for the following output is 'C'? Kindly help to simplified it, as I'm not sure about it, still trying hard to learn.

Simplify the following boolean expression using boolean algebra.
    ((a'.b)'+c')' + (a'+(b'.c)')'

Answer 1

((a' b)' + c')' + (a' + (b' c)')' = (a' b) c + a (b' c) = a'b c + a b'c = (a'b + a b') c = (a xor b) c