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