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\left(13-x_{1}\right)\left(13+x_{1}\right)
Rewrite 169-x_{1}^{2} as 13^{2}-x_{1}^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-x_{1}+13\right)\left(x_{1}+13\right)
Reorder the terms.