Factor
\left(x-y-1\right)\left(x+y+3\right)
Evaluate
\left(x-y-1\right)\left(x+y+3\right)
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x^{2}+2x-y^{2}-4y-3
Consider x^{2}-y^{2}+2x-4y-3 as a polynomial over variable x.
\left(x-y-1\right)\left(x+y+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 -y^{2}-4y-3. One such factor is x-y-1. 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
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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