Evaluate
\frac{4x}{x^{2}-16}
Factor
\frac{4x}{x^{2}-16}
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\frac{2\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}+\frac{2\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-4 and x+4 is \left(x-4\right)\left(x+4\right). Multiply \frac{2}{x-4} times \frac{x+4}{x+4}. Multiply \frac{2}{x+4} times \frac{x-4}{x-4}.
\frac{2\left(x+4\right)+2\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}
Since \frac{2\left(x+4\right)}{\left(x-4\right)\left(x+4\right)} and \frac{2\left(x-4\right)}{\left(x-4\right)\left(x+4\right)} have the same denominator, add them by adding their numerators.
\frac{2x+8+2x-8}{\left(x-4\right)\left(x+4\right)}
Do the multiplications in 2\left(x+4\right)+2\left(x-4\right).
\frac{4x}{\left(x-4\right)\left(x+4\right)}
Combine like terms in 2x+8+2x-8.
\frac{4x}{x^{2}-16}
Expand \left(x-4\right)\left(x+4\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 ) }
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Limits
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