Factor
\left(x+2y-5\right)\left(x+2y+1\right)
Evaluate
\left(x+2y-5\right)\left(x+2y+1\right)
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x^{2}+\left(4y-4\right)x+4y^{2}-8y-5
Consider x^{2}+4y^{2}+4xy-4x-8y-5 as a polynomial over variable x.
\left(x+2y+1\right)\left(x+2y-5\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 4y^{2}-8y-5. One such factor is x+2y+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
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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