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4y^{2}-4y-36b^{2}-24b-3
Consider 4y^{2}-4y-36b^{2}-24b-3 as a polynomial over variable y.
\left(2y+6b+1\right)\left(2y-6b-3\right)
Find one factor of the form ky^{m}+n, where ky^{m} divides the monomial with the highest power 4y^{2} and n divides the constant factor -36b^{2}-24b-3. One such factor is 2y+6b+1. Factor the polynomial by dividing it by this factor.