Evaluate
\frac{1}{4x\left(x+6\right)}
Expand
\frac{1}{4x\left(x+6\right)}
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\frac{\left(x-8\right)\left(x+10\right)}{\left(x^{2}-2x-48\right)\left(4x^{2}+40x\right)}
Divide \frac{x-8}{x^{2}-2x-48} by \frac{4x^{2}+40x}{x+10} by multiplying \frac{x-8}{x^{2}-2x-48} by the reciprocal of \frac{4x^{2}+40x}{x+10}.
\frac{\left(x-8\right)\left(x+10\right)}{4x\left(x-8\right)\left(x+6\right)\left(x+10\right)}
Factor the expressions that are not already factored.
\frac{1}{4x\left(x+6\right)}
Cancel out \left(x-8\right)\left(x+10\right) in both numerator and denominator.
\frac{1}{4x^{2}+24x}
Expand the expression.
\frac{\left(x-8\right)\left(x+10\right)}{\left(x^{2}-2x-48\right)\left(4x^{2}+40x\right)}
Divide \frac{x-8}{x^{2}-2x-48} by \frac{4x^{2}+40x}{x+10} by multiplying \frac{x-8}{x^{2}-2x-48} by the reciprocal of \frac{4x^{2}+40x}{x+10}.
\frac{\left(x-8\right)\left(x+10\right)}{4x\left(x-8\right)\left(x+6\right)\left(x+10\right)}
Factor the expressions that are not already factored.
\frac{1}{4x\left(x+6\right)}
Cancel out \left(x-8\right)\left(x+10\right) in both numerator and denominator.
\frac{1}{4x^{2}+24x}
Expand the expression.
Examples
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}