Write the following expression in both minimal and canonical sum of products form
$$(b+d)(a'+b'+c).$$
I made the truth tables for both and got the following:
$$a'b'c'd + a'b'cd + a'bcd + abcd' + ab'c'd + ab'cd + abcd.$$
I also tried distributing it and got:
$$a'b + bb' + bc + a'd + b'd + cd = a'(b+d) + c(b+d) + b'd$$
Am I doing this right so far? Also what do I do next?