Evaluate
-\frac{3x^{2}}{2500}+3x
Expand
-\frac{3x^{2}}{2500}+3x
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3x\left(\frac{2500}{2500}-\frac{x}{2500}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2500}{2500}.
3x\times \frac{2500-x}{2500}
Since \frac{2500}{2500} and \frac{x}{2500} have the same denominator, subtract them by subtracting their numerators.
\frac{3\left(2500-x\right)}{2500}x
Express 3\times \frac{2500-x}{2500} as a single fraction.
\frac{7500-3x}{2500}x
Use the distributive property to multiply 3 by 2500-x.
\frac{\left(7500-3x\right)x}{2500}
Express \frac{7500-3x}{2500}x as a single fraction.
\frac{7500x-3x^{2}}{2500}
Use the distributive property to multiply 7500-3x by x.
3x\left(\frac{2500}{2500}-\frac{x}{2500}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2500}{2500}.
3x\times \frac{2500-x}{2500}
Since \frac{2500}{2500} and \frac{x}{2500} have the same denominator, subtract them by subtracting their numerators.
\frac{3\left(2500-x\right)}{2500}x
Express 3\times \frac{2500-x}{2500} as a single fraction.
\frac{7500-3x}{2500}x
Use the distributive property to multiply 3 by 2500-x.
\frac{\left(7500-3x\right)x}{2500}
Express \frac{7500-3x}{2500}x as a single fraction.
\frac{7500x-3x^{2}}{2500}
Use the distributive property to multiply 7500-3x by x.
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}