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30c^{2}-gc-g^{2}
Consider 30c^{2}-cg-g^{2} as a polynomial over variable c.
\left(5c-g\right)\left(6c+g\right)
Find one factor of the form kc^{m}+n, where kc^{m} divides the monomial with the highest power 30c^{2} and n divides the constant factor -g^{2}. One such factor is 5c-g. Factor the polynomial by dividing it by this factor.