Consider the expression below. Assume the variable m represents an integer. 6m(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.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

Solving (a): Complete the blanks

Expand the bracket

Express 6m as 2m * 3

Rewrite as:

Multiply the bracket by 2m

Divide both sides by 9

Hence, the bracket will be filled with:

So:

Solving (b): Is divisible by 9?

In (a), we have:

The leading factor "9" implies that the expression is divisible by 9