QuestionAugust 25, 2025

Evaluate the following algebraic expression at x=-3,y=-7,z=3 and simplify your answer. (x+y)^2-6z

Evaluate the following algebraic expression at x=-3,y=-7,z=3 and simplify your answer. (x+y)^2-6z
Evaluate the following algebraic expression at x=-3,y=-7,z=3 and simplify your answer. (x+y)^2-6z

Solution
4.3(204 votes)

Answer

82 Explanation 1. Substitute the values Substitute x = -3, y = -7, and z = 3 into the expression (x+y)^{2}-6z. 2. Calculate inside the parentheses Compute (-3) + (-7) = -10. 3. Square the result Calculate (-10)^2 = 100. 4. Multiply and simplify Compute 6 \times 3 = 18. 5. Subtract to find the final result Calculate 100 - 18 = 82.

Explanation

1. Substitute the values<br /> Substitute $x = -3$, $y = -7$, and $z = 3$ into the expression $(x+y)^{2}-6z$.<br /><br />2. Calculate inside the parentheses<br /> Compute $(-3) + (-7) = -10$.<br /><br />3. Square the result<br /> Calculate $(-10)^2 = 100$.<br /><br />4. Multiply and simplify<br /> Compute $6 \times 3 = 18$.<br /><br />5. Subtract to find the final result<br /> Calculate $100 - 18 = 82$.
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