Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: ![x^2 z^2 -y^2(x+z)](/tpl/images/0670/3809/e71bc.png)
Options:
A.–23
B.–5
C.13
D.27
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)](/tpl/images/0670/3809/e71bc.png)
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
![x^2 z^2 -y^2(x+z)](/tpl/images/0670/3809/e71bc.png)
Substituting values, we have:
![(2^2) (-1^2) - (-3^2)(2+(-1))](/tpl/images/0670/3809/78324.png)
Simplifying, we have:
![[(2^2) (-1^2)] - [(-3^2)(2-1)]](/tpl/images/0670/3809/b2080.png)
![= [(4) (1)] - [(9)(1)]](/tpl/images/0670/3809/e5e15.png)
![= 4 - 9](/tpl/images/0670/3809/dbd82.png)
= -5
The correct answer is option B