Factor
\frac{2e^{x-1}-\left(x-1\right)^{2}-4\sqrt{x}+2}{2}
Evaluate
e^{x-1}-\frac{\left(x-1\right)^{2}}{2}-2\sqrt{x}+1
Graph
Quiz
Algebra
5 problems similar to:
e ^ { x - 1 } - 2 \sqrt { x } + 1 - \frac { ( x - 1 ) ^ { 2 } } { 2 }
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\frac{2e^{x-1}-4\sqrt{x}+2-\left(x-1\right)^{2}}{2}
Factor out \frac{1}{2}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}