Factor
\left(x-5y\right)\left(x-y+13\right)
Evaluate
\left(x-5y\right)\left(x-y+13\right)
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x^{2}+\left(-6y+13\right)x+5y^{2}-65y
Consider x^{2}-6xy+5y^{2}+13x-65y as a polynomial over variable x.
\left(x-5y\right)\left(x-y+13\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 5y^{2}-65y. One such factor is x-5y. Factor the polynomial by dividing it by this factor.
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