Question
Evaluate \( (x-2 y)^{2} \) if \( x=2 \) and \( y=-3 \)
Ask by Robbins Murray. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (x-2y)^2 = 64 \)
Solution
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The Deep Dive
First, we substitute the values of \( x \) and \( y \) into the expression \( (x-2y)^{2} \). Given \( x=2 \) and \( y=-3 \): \[ x - 2y = 2 - 2(-3) \] Calculating inside the parentheses: \[ x - 2y = 2 + 6 = 8 \] Now we have: \[ (x - 2y)^{2} = (8)^{2} = 64 \] Thus, the value of \( (x-2y)^{2} \) when \( x=2 \) and \( y=-3 \) is \( 64 \).
