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10a^{2}+11ba-18b^{2}
Consider 10a^{2}+11ab-18b^{2} as a polynomial over variable a.
\left(10a-9b\right)\left(a+2b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 10a^{2} and n divides the constant factor -18b^{2}. One such factor is 10a-9b. Factor the polynomial by dividing it by this factor.