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?

Answer 1

Answer:B

Step-by-step explanation:

Answer 2

Answer:

$3a^3-6a^2-2$

Step-by-step 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.