What are the like terms in this expression. 3ac + ab - ac + 2ab? Explain please?
the two ac terms are alike, and the two ab terms.
To identify like terms in the given expression, we should focus on the variables and their exponents. In this case, the variables are "a" and "b".
Like terms refer to the terms that have the same variables raised to the same exponents.
Let's break down the given expression:
3ac + ab - ac + 2ab
The terms involving "a" are 3ac, -ac, and ab, while the terms involving "b" are ab and 2ab.
Among the terms involving the variable "a", we can see that 3ac and -ac have the same variable "a" raised to the same exponent 1. So, they are like terms.
Among the terms involving the variable "b", ab and 2ab also have the same variable "b" raised to the same exponent 1. Therefore, they are like terms as well.
To summarize, the like terms in the expression are 3ac and -ac (terms involving "a"), and ab and 2ab (terms involving "b").
To identify the like terms in the expression 3ac + ab - ac + 2ab, we need to look for terms that have the same variables raised to the same powers. In this case, the variables are a and b.
Let's break down the terms:
1. 3ac - This term has both the variables a and c.
2. ab - This term has the variables a and b.
3. -ac - This term also has the variables a and c, but with a negative coefficient.
4. 2ab - This term has the variables a and b.
Now, we can compare the terms and look for like terms:
First, let's group the terms by their variables:
Group 1: 3ac -ac = 2ac
Group 2: ab + 2ab = 3ab
Now we have two groups of terms with like terms:
Group 1: 2ac
Group 2: 3ab
Therefore, the like terms in the expression 3ac + ab - ac + 2ab are 2ac and 3ab.
To identify the like terms, we analyzed the terms in the expression to see if they have the same variables raised to the same powers. We then grouped the terms accordingly, which allowed us to identify the like terms.