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