Evaluate
-\frac{27}{x+1}
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-\frac{27}{x+1}
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\frac{x+10}{\left(x-8\right)\left(x+10\right)}\times \frac{3}{-x-1}\times \frac{9x^{2}-63x-72}{x+1}
Factor the expressions that are not already factored in \frac{x+10}{x^{2}+2x-80}.
\frac{1}{x-8}\times \frac{3}{-x-1}\times \frac{9x^{2}-63x-72}{x+1}
Cancel out x+10 in both numerator and denominator.
\frac{1}{x-8}\times \frac{3}{-x-1}\times \frac{9\left(x-8\right)\left(x+1\right)}{x+1}
Factor the expressions that are not already factored in \frac{9x^{2}-63x-72}{x+1}.
\frac{1}{x-8}\times \frac{3}{-x-1}\times 9\left(x-8\right)
Cancel out x+1 in both numerator and denominator.
\frac{1}{x-8}\times \frac{3}{-x-1}\left(9x-72\right)
Expand the expression.
\frac{3}{\left(x-8\right)\left(-x-1\right)}\left(9x-72\right)
Multiply \frac{1}{x-8} times \frac{3}{-x-1} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(9x-72\right)}{\left(x-8\right)\left(-x-1\right)}
Express \frac{3}{\left(x-8\right)\left(-x-1\right)}\left(9x-72\right) as a single fraction.
\frac{3\times 9\left(x-8\right)}{\left(x-8\right)\left(-x-1\right)}
Factor the expressions that are not already factored.
\frac{3\times 9}{-x-1}
Cancel out x-8 in both numerator and denominator.
\frac{27}{-x-1}
Expand the expression.
\frac{x+10}{\left(x-8\right)\left(x+10\right)}\times \frac{3}{-x-1}\times \frac{9x^{2}-63x-72}{x+1}
Factor the expressions that are not already factored in \frac{x+10}{x^{2}+2x-80}.
\frac{1}{x-8}\times \frac{3}{-x-1}\times \frac{9x^{2}-63x-72}{x+1}
Cancel out x+10 in both numerator and denominator.
\frac{1}{x-8}\times \frac{3}{-x-1}\times \frac{9\left(x-8\right)\left(x+1\right)}{x+1}
Factor the expressions that are not already factored in \frac{9x^{2}-63x-72}{x+1}.
\frac{1}{x-8}\times \frac{3}{-x-1}\times 9\left(x-8\right)
Cancel out x+1 in both numerator and denominator.
\frac{1}{x-8}\times \frac{3}{-x-1}\left(9x-72\right)
Expand the expression.
\frac{3}{\left(x-8\right)\left(-x-1\right)}\left(9x-72\right)
Multiply \frac{1}{x-8} times \frac{3}{-x-1} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(9x-72\right)}{\left(x-8\right)\left(-x-1\right)}
Express \frac{3}{\left(x-8\right)\left(-x-1\right)}\left(9x-72\right) as a single fraction.
\frac{3\times 9\left(x-8\right)}{\left(x-8\right)\left(-x-1\right)}
Factor the expressions that are not already factored.
\frac{3\times 9}{-x-1}
Cancel out x-8 in both numerator and denominator.
\frac{27}{-x-1}
Expand the expression.
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}