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20q^{2}-13tq-15t^{2}
Consider 20q^{2}-13qt-15t^{2} as a polynomial over variable q.
\left(4q-5t\right)\left(5q+3t\right)
Find one factor of the form kq^{m}+n, where kq^{m} divides the monomial with the highest power 20q^{2} and n divides the constant factor -15t^{2}. One such factor is 4q-5t. Factor the polynomial by dividing it by this factor.