Evaluate
\frac{\left(110-x\right)\left(x-18\right)}{2}
Expand
-\frac{x^{2}}{2}+64x-990
Graph
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-\frac{1}{2}xx-\frac{1}{2}x\left(-18\right)+55x-990
Apply the distributive property by multiplying each term of -\frac{1}{2}x+55 by each term of x-18.
-\frac{1}{2}x^{2}-\frac{1}{2}x\left(-18\right)+55x-990
Multiply x and x to get x^{2}.
-\frac{1}{2}x^{2}+\frac{-\left(-18\right)}{2}x+55x-990
Express -\frac{1}{2}\left(-18\right) as a single fraction.
-\frac{1}{2}x^{2}+\frac{18}{2}x+55x-990
Multiply -1 and -18 to get 18.
-\frac{1}{2}x^{2}+9x+55x-990
Divide 18 by 2 to get 9.
-\frac{1}{2}x^{2}+64x-990
Combine 9x and 55x to get 64x.
-\frac{1}{2}xx-\frac{1}{2}x\left(-18\right)+55x-990
Apply the distributive property by multiplying each term of -\frac{1}{2}x+55 by each term of x-18.
-\frac{1}{2}x^{2}-\frac{1}{2}x\left(-18\right)+55x-990
Multiply x and x to get x^{2}.
-\frac{1}{2}x^{2}+\frac{-\left(-18\right)}{2}x+55x-990
Express -\frac{1}{2}\left(-18\right) as a single fraction.
-\frac{1}{2}x^{2}+\frac{18}{2}x+55x-990
Multiply -1 and -18 to get 18.
-\frac{1}{2}x^{2}+9x+55x-990
Divide 18 by 2 to get 9.
-\frac{1}{2}x^{2}+64x-990
Combine 9x and 55x to get 64x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}