Expand the following expression.
3(m+2) + 4(6+m)
3(m+2) + 4(6+m)
3m + 6 + 24 + 4m
7m + 30
Thank you I missed a lesson in class today so I was a little lost.
Please check back later. I'm not sure that I followed the "expand" directions. If I'm wrong, I hope another tutor posts a correction.
To expand the expression 3(m+2) + 4(6+m), we need to distribute the numbers outside the parentheses to the terms inside them.
Let's start by expanding the first term, 3(m+2):
Step 1: Distribute 3 to m: 3 * m = 3m
Step 2: Distribute 3 to 2: 3 * 2 = 6
Now, let's expand the second term, 4(6+m):
Step 3: Distribute 4 to 6: 4 * 6 = 24
Step 4: Distribute 4 to m: 4 * m = 4m
Now, let's combine the expanded terms:
3(m+2) + 4(6+m) = 3m + 6 + 24 + 4m
Finally, let's simplify the expression by combining like terms:
Combine 3m and 4m: 3m + 4m = 7m
Combine 6 and 24: 6 + 24 = 30
Therefore, the expanded expression is 7m + 30.