Like terms are those terms, which have the common variable with same powers.
The number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
<h3>What is like terms?</h3>
In the algebra or the algebraic expression the like terms are those terms, which have the common variable with same powers.
Given information-
The given expression in the problem is,

The given expression is the algebraic expression which 3 number of unknowns variables.
There is total 6 terms in the given expression. In which 5 terms consists the variables and one term is constant.
In the given expression,
- The total number of terms with variable x are 3 which are,
.
- The total number of terms with variable y is 2 which is
.
- The total number of terms with variable z is 1 which is
.
- The total number of constant terms is 1 which is 7.
Thus the number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
Learn more about the like terms here;
brainly.com/question/1779134