Factor
\left(x+3y\right)\left(x+3y+2\right)
Evaluate
\left(x+3y\right)\left(x+3y+2\right)
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x^{2}+\left(6y+2\right)x+9y^{2}+6y
Consider x^{2}+6xy+9y^{2}+2x+6y as a polynomial over variable x.
\left(x+3y\right)\left(x+3y+2\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 9y^{2}+6y. One such factor is x+3y. Factor the polynomial by dividing it by this factor.
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