Question

evaluate the following algebraic expression at ( x = -4, y = 4, z = -3 ) and simplify your answer. ((x + y)^2 - 6z)

Explanation:

Step1: Substitute x, y, z values

Substitute \( x = -4 \), \( y = 4 \), \( z = -3 \) into the expression \( (x + y)^2 - 6z \). First, calculate \( x + y \): \( -4 + 4 = 0 \).

Step2: Calculate the square term

Now, square the result from Step 1: \( 0^2 = 0 \).

Step3: Calculate the -6z term

Calculate \( -6z \) with \( z = -3 \): \( -6\times(-3) = 18 \).

Step4: Combine the terms

Add the results from Step 2 and Step 3: \( 0 + 18 = 18 \).

Answer:

18