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9a^{2}-3a-4b^{2}-2b
Consider 9a^{2}-4b^{2}-3a-2b as a polynomial over variable a.
\left(3a+2b\right)\left(3a-2b-1\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 9a^{2} and n divides the constant factor -4b^{2}-2b. One such factor is 3a+2b. Factor the polynomial by dividing it by this factor.