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4a^{2}-4ba-15b^{2}
Consider 4a^{2}-4ab-15b^{2} as a polynomial over variable a.
\left(2a-5b\right)\left(2a+3b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 4a^{2} and n divides the constant factor -15b^{2}. One such factor is 2a-5b. Factor the polynomial by dividing it by this factor.