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15w^{2}-2c^{3}w-c^{6}
Consider 15w^{2}-2wc^{3}-c^{6} as a polynomial over variable w.
\left(3w-c^{3}\right)\left(5w+c^{3}\right)
Find one factor of the form kw^{m}+n, where kw^{m} divides the monomial with the highest power 15w^{2} and n divides the constant factor -c^{6}. One such factor is 3w-c^{3}. Factor the polynomial by dividing it by this factor.