Question

How do you combine like terms in `8a - 3b - 2a + 2b`?

Answer 1

`6a-b`

Explanation:

First, rearrange the problem so that the like terms are next to each other

When rearranging a problem, the sign that is in front of the number comes along for the ride.

In this problem, there are the following terms:

`+8a`, `-3b`, `-2a`, and `+2b`

Now, to combine the like terms, which are the terms that have the same variable, set up the problem so that the terms are next to each other so that you can visibly see the math function you are to perform

*Remember that the terms and its sign (+ or -) are 'attached' to each other

`8a-2a-3b+2b`

Now, it is easier to see the like terms and how they are to be combined

Combine the `a's`

`8a-2a=6a`

Combine `b's`

`-3b+2b=-1b (or -b)`

So, the final answer is:

`6a-b`