Evaluate
\frac{80\left(x-10\right)}{x\left(x+20\right)}
Expand
\frac{80\left(x-10\right)}{x\left(x+20\right)}
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\frac{\left(x-10\right)\times 4\left(x+20\right)}{x\left(x+20\right)}-\frac{\left(x-10\right)\times 4x}{x\left(x+20\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+20 is x\left(x+20\right). Multiply \frac{\left(x-10\right)\times 4}{x} times \frac{x+20}{x+20}. Multiply \frac{\left(x-10\right)\times 4}{x+20} times \frac{x}{x}.
\frac{\left(x-10\right)\times 4\left(x+20\right)-\left(x-10\right)\times 4x}{x\left(x+20\right)}
Since \frac{\left(x-10\right)\times 4\left(x+20\right)}{x\left(x+20\right)} and \frac{\left(x-10\right)\times 4x}{x\left(x+20\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{4x^{2}+80x-40x-800-4x^{2}+40x}{x\left(x+20\right)}
Do the multiplications in \left(x-10\right)\times 4\left(x+20\right)-\left(x-10\right)\times 4x.
\frac{80x-800}{x\left(x+20\right)}
Combine like terms in 4x^{2}+80x-40x-800-4x^{2}+40x.
\frac{80x-800}{x^{2}+20x}
Expand x\left(x+20\right).
\frac{\left(x-10\right)\times 4\left(x+20\right)}{x\left(x+20\right)}-\frac{\left(x-10\right)\times 4x}{x\left(x+20\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+20 is x\left(x+20\right). Multiply \frac{\left(x-10\right)\times 4}{x} times \frac{x+20}{x+20}. Multiply \frac{\left(x-10\right)\times 4}{x+20} times \frac{x}{x}.
\frac{\left(x-10\right)\times 4\left(x+20\right)-\left(x-10\right)\times 4x}{x\left(x+20\right)}
Since \frac{\left(x-10\right)\times 4\left(x+20\right)}{x\left(x+20\right)} and \frac{\left(x-10\right)\times 4x}{x\left(x+20\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{4x^{2}+80x-40x-800-4x^{2}+40x}{x\left(x+20\right)}
Do the multiplications in \left(x-10\right)\times 4\left(x+20\right)-\left(x-10\right)\times 4x.
\frac{80x-800}{x\left(x+20\right)}
Combine like terms in 4x^{2}+80x-40x-800-4x^{2}+40x.
\frac{80x-800}{x^{2}+20x}
Expand x\left(x+20\right).
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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
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