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6q^{2}+13dq+6d^{2}
Consider 6q^{2}+13qd+6d^{2} as a polynomial over variable q.
\left(2q+3d\right)\left(3q+2d\right)
Find one factor of the form kq^{m}+n, where kq^{m} divides the monomial with the highest power 6q^{2} and n divides the constant factor 6d^{2}. One such factor is 2q+3d. Factor the polynomial by dividing it by this factor.