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