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60b^{2}-59db-20d^{2}
Consider 60b^{2}-59bd-20d^{2} as a polynomial over variable b.
\left(4b-5d\right)\left(15b+4d\right)
Find one factor of the form kb^{m}+n, where kb^{m} divides the monomial with the highest power 60b^{2} and n divides the constant factor -20d^{2}. One such factor is 4b-5d. Factor the polynomial by dividing it by this factor.