To determine the equivalnet expression solve each of the given options.
For option A.
[tex]\begin{gathered} b+2(b+2)=b+2(3b) \\ =b+6b \\ =7b \end{gathered}[/tex]For option B.
[tex]3b+b=4b[/tex]Option B results in 4b, so 3b + b is equivalent to 4b.
For option C.
[tex]\begin{gathered} 2(2b)=2\cdot2b \\ =4b \end{gathered}[/tex]Option C results in 4b, so 2(2b) is equivalent to 4b.
Option B and option C are correct.