Answer
$x^2-6x+9$
Work Step by Step
Recall:
$(a-b)^2=a^2-2ab+b^2$
Use the formula above with $a=x$ and $b=3$ to obtain:
\begin{align*}
(x-3)(x-3)&=(x-3)^2\\
&=x^2-2(x)(3)+3^2\\
&=x^2-6x+9
\end{align*}
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