Question

evaluate the algebraic expression.
$(x + y)^2 - |z + y|$ for $x = 5$, $y = 2$, and $z = -6$
enter an exact number.
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Explanation:

Step1: Substitute values into \( (x + y)^2 \)

Substitute \( x = 5 \) and \( y = 2 \) into \( (x + y)^2 \). So \( x + y = 5 + 2 = 7 \), then \( (x + y)^2 = 7^2 = 49 \).

Step2: Substitute values into \( |z + y| \)

Substitute \( z = -6 \) and \( y = 2 \) into \( |z + y| \). So \( z + y = -6 + 2 = -4 \), and the absolute value \( | -4 | = 4 \).

Step3: Subtract the two results

Now subtract the second result from the first: \( 49 - 4 = 45 \).

Answer:

\( 45 \)