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x^{2}-\left(m^{2}-6mn+9n^{2}\right)
Rewrite as difference of two terms.
x^{2}-\left(m-3n\right)^{2}
Rewrite the terms as squares.
\left(x-m+3n\right)\left(x+m-3n\right)
The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).