Factor
\left(x+y\right)\left(x-y+1\right)
Evaluate
\left(x+y\right)\left(x-y+1\right)
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x^{2}+x-y^{2}+y
Consider x^{2}-y^{2}+x+y as a polynomial over variable x.
\left(x+y\right)\left(x-y+1\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}+y. One such factor is x+y. Factor the polynomial by dividing it by this factor.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
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Limits
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