Evaluate
-\frac{3\pi px}{40}
Expand
-\frac{3\pi px}{40}
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\frac{\frac{4\times 8}{40x}-\frac{7\times 5}{40x}}{\frac{1}{x^{2}}}\pi p
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5x and 8x is 40x. Multiply \frac{4}{5x} times \frac{8}{8}. Multiply \frac{7}{8x} times \frac{5}{5}.
\frac{\frac{4\times 8-7\times 5}{40x}}{\frac{1}{x^{2}}}\pi p
Since \frac{4\times 8}{40x} and \frac{7\times 5}{40x} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{32-35}{40x}}{\frac{1}{x^{2}}}\pi p
Do the multiplications in 4\times 8-7\times 5.
\frac{\frac{-3}{40x}}{\frac{1}{x^{2}}}\pi p
Do the calculations in 32-35.
\frac{-3x^{2}}{40x}\pi p
Divide \frac{-3}{40x} by \frac{1}{x^{2}} by multiplying \frac{-3}{40x} by the reciprocal of \frac{1}{x^{2}}.
\frac{-3x}{40}\pi p
Cancel out x in both numerator and denominator.
\frac{-3x\pi }{40}p
Express \frac{-3x}{40}\pi as a single fraction.
\frac{-3x\pi p}{40}
Express \frac{-3x\pi }{40}p as a single fraction.
\frac{\frac{4\times 8}{40x}-\frac{7\times 5}{40x}}{\frac{1}{x^{2}}}\pi p
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5x and 8x is 40x. Multiply \frac{4}{5x} times \frac{8}{8}. Multiply \frac{7}{8x} times \frac{5}{5}.
\frac{\frac{4\times 8-7\times 5}{40x}}{\frac{1}{x^{2}}}\pi p
Since \frac{4\times 8}{40x} and \frac{7\times 5}{40x} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{32-35}{40x}}{\frac{1}{x^{2}}}\pi p
Do the multiplications in 4\times 8-7\times 5.
\frac{\frac{-3}{40x}}{\frac{1}{x^{2}}}\pi p
Do the calculations in 32-35.
\frac{-3x^{2}}{40x}\pi p
Divide \frac{-3}{40x} by \frac{1}{x^{2}} by multiplying \frac{-3}{40x} by the reciprocal of \frac{1}{x^{2}}.
\frac{-3x}{40}\pi p
Cancel out x in both numerator and denominator.
\frac{-3x\pi }{40}p
Express \frac{-3x}{40}\pi as a single fraction.
\frac{-3x\pi p}{40}
Express \frac{-3x\pi }{40}p as a single fraction.
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}