Question

Evaluate the expression below for x = 2, y = –3, and z = –1.

A.

–23

B.

–5

C.

13

D.

27

Answer 1

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: $x^2 z^2 -y^2(x+z)$

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

$x^2 z^2 -y^2(x+z)$

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

$x^2 z^2 -y^2(x+z)$

Substituting values, we have:

$(2^2) (-1^2) - (-3^2)(2+(-1))$

Simplifying, we have:

$[(2^2) (-1^2)] - [(-3^2)(2-1)]$

$= [(4) (1)] - [(9)(1)]$

$= 4 - 9$

= -5

The correct answer is option B