Factor
\left(a-1\right)\left(a+2b+1\right)
Evaluate
\left(a-1\right)\left(a+2b+1\right)
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a^{2}+2ba-2b-1
Consider a^{2}+2ab-2b-1 as a polynomial over variable a.
\left(a-1\right)\left(a+2b+1\right)
Find one factor of the form a^{k}+m, where a^{k} divides the monomial with the highest power a^{2} and m divides the constant factor -2b-1. One such factor is a-1. Factor the polynomial by dividing it by this factor.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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