ANSWER
[tex](b + 3)(1 - c)[/tex]
EXPLANATION
The given expression is:
[tex](b + 3) - c(b + 3)[/tex]
We can rewrite this to reveal the invisible 1 multiplying the first term.
[tex]1(b + 3) - c(b + 3)[/tex]
There is a common factor of (b+3).
We factor to get;
[tex](b + 3)(1 - c)[/tex]
Therefore the completely factored form of the given expression is
[tex](b + 3)(1 - c)[/tex]