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what is (m+7)+2

i need help fisnisheing my homework

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Jaison N. | A PhD to Teach You Math and PhysicsA PhD to Teach You Math and Physics
4.9 4.9 (150 lesson ratings) (150)

You have a problem in combining like terms. In this problem, there are two types of terms: those with an m in front of them and those that do not. There is one term with an m so leave that one alone. Now look for all terms that do not contain an m. There are two: the 7 and the 2. Now, the 7 is in a set of parenthesis. But, since there isn't anything in on either side of the parenthesis, you can remove the parenthesis so you have m + 7 + 2. Now, add the 7 and 2 and you have m + 9!

You can also think of it as (1)(m + 7) + 2 and distribute the (1). We call this the implied 1. It's in front of any term in any equation but we don't write it down because multiplying by 1 doesn't do anything.


Lauren B. | Improving Dubuque's Math Skills One Student at a TimeImproving Dubuque's Math Skills One Stud...
5.0 5.0 (311 lesson ratings) (311)

Another way to think of this question is to apply the associative rule of addition, which says that if we are adding 3 terms together that order doesn't matter. So, we can take (m+7)+2 and change it to m+(7+2). Just like Jaison said, then we combine like terms.