Evaluate
\frac{x-4}{x+6}
Expand
\frac{x-4}{x+6}
Graph
Quiz
Polynomial
\frac { x + 7 } { x ^ { 2 } + 3 x - 18 } \div \frac { x + 7 } { x ^ { 2 } - 7 x + 12 }
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\frac{\left(x+7\right)\left(x^{2}-7x+12\right)}{\left(x^{2}+3x-18\right)\left(x+7\right)}
Divide \frac{x+7}{x^{2}+3x-18} by \frac{x+7}{x^{2}-7x+12} by multiplying \frac{x+7}{x^{2}+3x-18} by the reciprocal of \frac{x+7}{x^{2}-7x+12}.
\frac{x^{2}-7x+12}{x^{2}+3x-18}
Cancel out x+7 in both numerator and denominator.
\frac{\left(x-4\right)\left(x-3\right)}{\left(x-3\right)\left(x+6\right)}
Factor the expressions that are not already factored.
\frac{x-4}{x+6}
Cancel out x-3 in both numerator and denominator.
\frac{\left(x+7\right)\left(x^{2}-7x+12\right)}{\left(x^{2}+3x-18\right)\left(x+7\right)}
Divide \frac{x+7}{x^{2}+3x-18} by \frac{x+7}{x^{2}-7x+12} by multiplying \frac{x+7}{x^{2}+3x-18} by the reciprocal of \frac{x+7}{x^{2}-7x+12}.
\frac{x^{2}-7x+12}{x^{2}+3x-18}
Cancel out x+7 in both numerator and denominator.
\frac{\left(x-4\right)\left(x-3\right)}{\left(x-3\right)\left(x+6\right)}
Factor the expressions that are not already factored.
\frac{x-4}{x+6}
Cancel out x-3 in both numerator and denominator.
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}