Final answer:
To evaluate each monomial for given values of X, Y, and Z, substitute the values into the monomial expression and simplify.
Step-by-step explanation:
To evaluate each monomial for X = 5, Y = -1, and Z = 4, we substitute the given values of X, Y, and Z into the monomial expression and simplify.
Let's say we have a monomial expression such as 3X^2Y - 2YZ.
- Substitute X = 5, Y = -1, and Z = 4 into the monomial expression:
- 3(5)^2(-1) - 2(4)(-1)(4)
- 3(25)(-1) - 2(4)(-1)(4)
- -75 - 2(4)(-1)(4)
- -75 - 2(4)(-4)
- -75 - 2(-16)
- -75 + 32
- -43
So, the value of the monomial expression 3X^2Y - 2YZ, when X = 5, Y = -1, and Z = 4, is -43.