Final answer:
The equivalent expression to 3b(4c-3) is obtained by distribution, resulting in 12bc - 9b.
Step-by-step explanation:
The expression given is 3b(4c-3) and it needs to be expanded. To expand this expression, you distribute the 3b across the terms inside the parentheses.
So, you multiply 3b by 4c and 3b by -3, which gives you 12bc - 9b. Therefore, 12bc - 9b is the equivalent expression to 3b(4c-3).