Evaluate
-\frac{15625x}{996}+\frac{125}{498}
Expand
-\frac{15625x}{996}+\frac{125}{498}
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\frac{125x-2}{\frac{1}{625}\times 10\times 2-8}
Calculate 5 to the power of -4 and get \frac{1}{625}.
\frac{125x-2}{\frac{2}{125}\times 2-8}
Multiply \frac{1}{625} and 10 to get \frac{2}{125}.
\frac{125x-2}{\frac{4}{125}-8}
Multiply \frac{2}{125} and 2 to get \frac{4}{125}.
\frac{125x-2}{-\frac{996}{125}}
Subtract 8 from \frac{4}{125} to get -\frac{996}{125}.
\frac{\left(125x-2\right)\times 125}{-996}
Divide 125x-2 by -\frac{996}{125} by multiplying 125x-2 by the reciprocal of -\frac{996}{125}.
\frac{15625x-250}{-996}
Use the distributive property to multiply 125x-2 by 125.
\frac{125x-2}{\frac{1}{625}\times 10\times 2-8}
Calculate 5 to the power of -4 and get \frac{1}{625}.
\frac{125x-2}{\frac{2}{125}\times 2-8}
Multiply \frac{1}{625} and 10 to get \frac{2}{125}.
\frac{125x-2}{\frac{4}{125}-8}
Multiply \frac{2}{125} and 2 to get \frac{4}{125}.
\frac{125x-2}{-\frac{996}{125}}
Subtract 8 from \frac{4}{125} to get -\frac{996}{125}.
\frac{\left(125x-2\right)\times 125}{-996}
Divide 125x-2 by -\frac{996}{125} by multiplying 125x-2 by the reciprocal of -\frac{996}{125}.
\frac{15625x-250}{-996}
Use the distributive property to multiply 125x-2 by 125.
Examples
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{ 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}