Factor
\left(3c-d+1\right)\left(9c^{2}+3cd+d^{2}\right)
Evaluate
\left(3c-d+1\right)\left(9c^{2}+3cd+d^{2}\right)
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27c^{3}+9c^{2}+3dc-d^{3}+d^{2}
Consider 27c^{3}-d^{3}+9c^{2}+3cd+d^{2} as a polynomial over variable c.
\left(3c-d+1\right)\left(9c^{2}+3cd+d^{2}\right)
Find one factor of the form kc^{m}+n, where kc^{m} divides the monomial with the highest power 27c^{3} and n divides the constant factor -d^{3}+d^{2}. One such factor is 3c-d+1. Factor the polynomial by dividing it by this factor.
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