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5a^{2}-4ba-28b^{2}
Consider 5a^{2}-4ab-28b^{2} as a polynomial over variable a.
\left(5a-14b\right)\left(a+2b\right)
Find one factor of the form ka^{m}+n, where ka^{m} divides the monomial with the highest power 5a^{2} and n divides the constant factor -28b^{2}. One such factor is 5a-14b. Factor the polynomial by dividing it by this factor.