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