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

Answer : $3a^3 - 6a^2 - 2$

The variables X, Y, and Z represent polynomials where

X = a, Y = 3a – 5, and Z =  $a^2 + 2$

We need to find $X^2Y - Z$

We replace the values of X, Y and Z

$X^2Y - Z$ =  $(a)^2(3a - 5) - (a^2 + 2)$

Now we simplify it

$(a)^2(3a - 5) - (a^2 + 2)$ = $3a^3 - 5a^2 - a^2 - 2 = 3a^3 - 6a^2 -2$

Answer 2

Answer:

The simplest form of $X^2Y-Z$ is $3a^3-6a^2-2$

Option 2 is correct.

Step-by-step explanation:

Given: The variables X, Y, and Z represent polynomials.

$X=a$

$Y=3a-5$

$Z=a^2+2$

We need to find $X^2Y-Z$

Substitute the value of X, Y and Z into expression

$\Rightarrow (a^2)(3a-5)-(a^2+2)$

$\Rightarrow 3a^3-5a^2-a^2-2$

Combine the like term

$\Rightarrow 3a^3-6a^2-2$

Simplest form is $\Rightarrow 3a^3-6a^2-2$

Hence, The simplest form of $X^2Y-Z$ is $3a^3-6a^2-2$