Question
Solve \( (r-3)^{2} \)
Ask by Cruz George. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( (r - 3)^2 = r^2 - 6r + 9 \)
Solution
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Beyond the Answer
First, let's expand the expression \( (r-3)^{2} \) using the formula \( (a-b)^{2} = a^{2} - 2ab + b^{2} \). In this case, \( a = r \) and \( b = 3 \). So, we have: \[ (r-3)^{2} = r^{2} - 2 \cdot r \cdot 3 + 3^{2} = r^{2} - 6r + 9. \] And voilà! The expanded form of \( (r-3)^{2} \) is \( r^{2} - 6r + 9 \).