Factor
\left(x+y+1\right)\left(x+y+2\right)
Evaluate
\left(x+y+1\right)\left(x+y+2\right)
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x^{2}+\left(2y+3\right)x+y^{2}+2+3y
Consider x^{2}+2xy+y^{2}+2+3x+3y as a polynomial over variable x.
\left(x+y+1\right)\left(x+y+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 y^{2}+3y+2. One such factor is x+y+1. Factor the polynomial by dividing it by this factor.
Examples
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