the variables x, y, and z represent polynomials where x = a, y = 3a - 5, and z = a² + 2. what is x²y - z in…

Explanation:

Step1: Substitute the values of (X), (Y), and (Z)

Given (X = a), (Y=3a - 5), (Z=a^{2}+2). Substitute into (X^{2}Y - Z): ((a)^{2}(3a - 5)-(a^{2}+2))

Step2: Simplify ((a)^{2}(3a - 5))

Using the distributive property (a^{2}\times3a-a^{2}\times5 = 3a^{3}-5a^{2}) So the expression becomes (3a^{3}-5a^{2}-(a^{2}+2))

Step3: Distribute the negative sign

(3a^{3}-5a^{2}-a^{2}-2)

Step4: Combine like - terms

Combine (-5a^{2}-a^{2}=-6a^{2}) The simplified expression is (3a^{3}-6a^{2}-2)

Answer:

(3a^{3}-6a^{2}-2) (the second option)