Question

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

2a2 – 5a – 2
3a3 – 6a2 – 2
–3a3 – 2
–3a2 – 2

Answer 1

(B) 3a3 – 6a2 – 2

Explanation:

edg :)

Answer 2

`3a^3-6a^2-2`

Explanation:

Given

• 
  `x=a`
• 
  `y=3a-5`
• 
  `z=a^2+2`

We need to find the expression for
`x^2y-z` in simplest form. Hence we plug in the substitutions into the expression and simplify:

`x^2y-z\\=(a)^(2)(3a-5)-(a^2+2)\\=3a^3-5a^2-a^2-2\\=3a^3-6a^2-2`

2nd answer choice is right.