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