Evaluate
\frac{5x\left(2-x\right)}{8}
Expand
-\frac{5x^{2}}{8}+\frac{5x}{4}
Graph
Share
Copied to clipboard
\frac{x\times 5\left(2-x\right)}{4\times 2}
Divide \frac{x}{4} by \frac{2}{5\left(2-x\right)} by multiplying \frac{x}{4} by the reciprocal of \frac{2}{5\left(2-x\right)}.
\frac{x\times 5\left(2-x\right)}{8}
Multiply 4 and 2 to get 8.
\frac{2x\times 5-5x^{2}}{8}
Use the distributive property to multiply x\times 5 by 2-x.
\frac{10x-5x^{2}}{8}
Multiply 2 and 5 to get 10.
\frac{x\times 5\left(2-x\right)}{4\times 2}
Divide \frac{x}{4} by \frac{2}{5\left(2-x\right)} by multiplying \frac{x}{4} by the reciprocal of \frac{2}{5\left(2-x\right)}.
\frac{x\times 5\left(2-x\right)}{8}
Multiply 4 and 2 to get 8.
\frac{2x\times 5-5x^{2}}{8}
Use the distributive property to multiply x\times 5 by 2-x.
\frac{10x-5x^{2}}{8}
Multiply 2 and 5 to get 10.
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}