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8a^{2}-2ba-21b^{2}
Consider 8a^{2}-2ab-21b^{2} as a polynomial over variable a.
\left(2a+3b\right)\left(4a-7b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 8a^{2} and n divides the constant factor -21b^{2}. One such factor is 2a+3b. Factor the polynomial by dividing it by this factor.