To simplify the expression 2a + 3a + 5b + 2b, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers.
First, let’s look at the terms with the variable a: 2a and 3a. We can add these together:
- 2a + 3a = 5a
Next, we have the terms with the variable b: 5b and 2b. We can also add these together:
- 5b + 2b = 7b
Now, we combine the results from both steps:
5a + 7b
This is the simplified form of the original expression.