Factor
\left(x+y+2\right)\left(x+2y+3\right)
Evaluate
\left(x+y+2\right)\left(x+2y+3\right)
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x^{2}+\left(3y+5\right)x+2y^{2}+7y+6
Consider x^{2}+3xy+2y^{2}+5x+7y+6 as a polynomial over variable x.
\left(x+y+2\right)\left(x+2y+3\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 2y^{2}+7y+6. One such factor is x+y+2. Factor the polynomial by dividing it by this factor.
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