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Completion requirements
Factor the perfect square trinomial \( x^2 - 30x + 225\).
\(\begin{align}
x^2 - 30x + 225 &=\left( {x + \frac{{\left( { -30} \right)}}{2}} \right)^2 \\
&=\left( {x - 15} \right)^2 \\
\end{align}\)
x^2 - 30x + 225 &=\left( {x + \frac{{\left( { -30} \right)}}{2}} \right)^2 \\
&=\left( {x - 15} \right)^2 \\
\end{align}\)