To determine the type of expression [tex]\(12xyz - 45\)[/tex] is, we'll classify it by considering the number of terms it contains.
Let's break it down step-by-step:
1. Identify the number of terms in the expression:
- A term is a single mathematical expression that can be a number, a variable, or the product of numbers and variables.
2. The given expression is [tex]\(12xyz - 45\)[/tex].
- First term: [tex]\(12xyz\)[/tex]
- Second term: [tex]\(-45\)[/tex]
3. We can see that there are two terms in the expression [tex]\(12xyz - 45\)[/tex].
Based on definitions:
- A constant has no variable component (e.g., 5).
- A monomial has exactly one term (e.g., [tex]\(3x\)[/tex] or [tex]\(-5\)[/tex]).
- A binomial has exactly two terms (with different variables or powers).
- A trinomial has exactly three terms (with different variables or powers).
Since the expression [tex]\(12xyz - 45\)[/tex] has two terms, it is a binomial.
Therefore, the correct answer is:
C. binomial.
