Evaluate the expression for the given value.
x = -2; y = 3; z = -1
-2x^2y - 3xy^2z - xz =
-2(-2)^2 * 3 - 3(-2)(3)^2 * -1 - (-2)(-1)
-2 * -4 * 3 - 3(-2) * 9 * -1 (-2)(-1)
-2 * -4 * 3 - 6 * 9 * -1 * 2
24 - 108 = -84
x = -2; y = 3; z = -1
-2x^2y - 3xy^2z - xz =
-2(-2)^2(3) - 3(-2)(3)^2(-1) - (-2)(-1)
(-2)(4)(3) -3(-2)((9)(-1) -(-2)(-1)
=
-24 - 54- 2
= -80
To evaluate the expression, we substitute the given values of x, y, and z into the expression and compute the result.
Given expression: -2x^2y - 3xy^2z - xz
Substituting the given values:
x = -2, y = 3, z = -1
We substitute -2 for x, 3 for y, and -1 for z in the expression:
-2(-2)^2(3) - 3(-2)(3)^2(-1) - (-2)(-1)
Now let's simplify this expression step by step:
-2(-2)^2(3) = -2 * 4 * 3 = -24
-3(-2)(3)^2(-1) = -3 * (-2) * 9 * (-1) = 54
-2 * -1 = 2
Now let's substitute these values back into the expression:
-24 - 54 - 2
Using the subtraction operation from left to right:
-24 - 54 = -78
-78 - 2 = -80
Therefore, the value of the given expression when x = -2, y = 3, and z = -1 is -80.