Factor
\left(2x+y\right)\left(4x^{2}-2xy+y^{2}+1\right)
Evaluate
8x^{3}+2x+y^{3}+y
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8x^{3}+2x+y^{3}+y
Consider 8x^{3}+y^{3}+2x+y as a polynomial over variable x.
\left(2x+y\right)\left(4x^{2}-2xy+y^{2}+1\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 8x^{3} and n divides the constant factor y^{3}+y. One such factor is 2x+y. Factor the polynomial by dividing it by this factor.
8x^{3}+y^{3}+2x+y
The opposite of -2x is 2x.
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