Calculate the following expression when x=3, y=-4, and z=2: 3y^2 - 2x + 4z

To evaluate the expression 3y² - 2x + 4z with the given values of x = 3, y = -4, and z = 2, start by substituting these values into the expression:

1. Calculate y²: ( y² = (-4)² = 16 )

2. Multiply by 3: ( 3y² = 3 * 16 = 48 )

3. Calculate -2x: ( -2x = -2 * 3 = -6 )

4. Calculate 4z: ( 4z = 4 * 2 = 8 )

Now, combine all these results: ( 3y² - 2x + 4z = 48 - 6 + 8 )

Calculating this step-by-step: ( 48 - 6 = 42 ) ( 42 + 8 = 50 )

Thus, the correct answer is 50. This reflects a thorough application of the order of operations and systematic substitution into the expression.