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5x^{2}-13yx+8y^{2}
Consider 5x^{2}-13xy+8y^{2} as a polynomial over variable x.
\left(5x-8y\right)\left(x-y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 5x^{2} and n divides the constant factor 8y^{2}. One such factor is 5x-8y. Factor the polynomial by dividing it by this factor.