Question

Write the following expression in simplest form: 4[3m + 5] + 9m + 3.

a) 21m + 23
b) 12m + 23
c) 27m + 12
d) 12m + 27

Answer 1

To simplify the expression 4[3m + 5] + 9m + 3, distribute the 4 to both terms inside the brackets, combine the like terms, and then combine the constant terms. The simplified expression is 21m + 23.

Step-by-step explanation:

To simplify the expression 4[3m + 5] + 9m + 3, we first distribute the 4 to both terms inside the brackets:

4 * 3m = 12m

4 * 5 = 20

So the expression becomes 12m + 20 + 9m + 3.

Next, we combine like terms by adding the coefficients of m:

12m + 9m = 21m

Finally, we combine the constant terms:

20 + 3 = 23

Therefore, the simplified expression is 21m + 23.