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56q^{2}-23tq-63t^{2}
Consider 56q^{2}-23qt-63t^{2} as a polynomial over variable q.
\left(7q-9t\right)\left(8q+7t\right)
Find one factor of the form kq^{m}+n, where kq^{m} divides the monomial with the highest power 56q^{2} and n divides the constant factor -63t^{2}. One such factor is 7q-9t. Factor the polynomial by dividing it by this factor.