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-a^{2}-6ba-9b^{2}
Consider -a^{2}-6ab-9b^{2} as a polynomial over variable a.
\left(a+3b\right)\left(-a-3b\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 -9b^{2}. One such factor is a+3b. Factor the polynomial by dividing it by this factor.