Evaluate
-\frac{\left(x-5\right)\left(x+2\right)}{2}
Expand
-\frac{x^{2}}{2}+\frac{3x}{2}+5
Graph
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\frac{1}{2}\left(-x^{2}\right)+\frac{3}{2}x+5
Use the distributive property to multiply \frac{1}{2} by -x^{2}+3x+10.
-\frac{1}{2}x^{2}+\frac{3}{2}x+5
Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.
\frac{1}{2}\left(-x^{2}\right)+\frac{3}{2}x+5
Use the distributive property to multiply \frac{1}{2} by -x^{2}+3x+10.
-\frac{1}{2}x^{2}+\frac{3}{2}x+5
Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.
Examples
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{ 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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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