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36a^{2}+9ba-10b^{2}
Consider 36a^{2}+9ab-10b^{2} as a polynomial over variable a.
\left(3a+2b\right)\left(12a-5b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 36a^{2} and n divides the constant factor -10b^{2}. One such factor is 3a+2b. Factor the polynomial by dividing it by this factor.