Sure, let's analyze each of the given options to determine which one is a monomial.
A monomial is an algebraic expression that consists of only one term. A term in algebra is a single mathematical expression that can involve constants, variables, or the product of constants and variables.
Now, let's look at each option:
A. [tex]\( 2x - yz \)[/tex]
- This expression includes subtraction ([tex]\(2x - yz\)[/tex]), which indicates that there are two separate terms: [tex]\(2x\)[/tex] and [tex]\(yz\)[/tex].
B. [tex]\( 2x + yz \)[/tex]
- This expression includes addition ([tex]\(2x + yz\)[/tex]), which indicates that there are two separate terms: [tex]\(2x\)[/tex] and [tex]\(yz\)[/tex].
C. [tex]\( 2 + xyz \)[/tex]
- This expression includes addition ([tex]\(2 + xyz\)[/tex]), which indicates that there are two separate terms: [tex]\(2\)[/tex] and [tex]\(xyz\)[/tex].
D. [tex]\( 2xyz^2 \)[/tex]
- This single expression [tex]\(2xyz^2\)[/tex] does not have any addition or subtraction; it’s just one term with variables and their coefficients. Hence, it is a single term.
Considering the definitions and analysis above, the expression that qualifies as a monomial is:
D. [tex]\( 2xyz^2 \)[/tex]
