Consider the expression below. Assume m is an integer.

12m(3m + 21)

Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.)

12m(3m + 21) = 9 (____)

Given that m is an integer, is 12m(3m + 21) divisible by 9?

A. Yes
B. No

Respuesta :

Answer:

4m² + 28m

A. Yes

Step-by-step explanation:

12m(3m+21) = 3(4m)[3(m+7)]

= 9(4m)(m+7)

= 9(4m²+28m)

Since 9 is a factor, it is divisible by 9