Evaluate
\frac{x-6}{x+5}
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\frac{x-6}{x+5}
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\frac{x^{2}-6x+4x-24}{x^{2}+9x+20}
Since \frac{x^{2}-6x}{x^{2}+9x+20} and \frac{4x-24}{x^{2}+9x+20} have the same denominator, add them by adding their numerators.
\frac{x^{2}-2x-24}{x^{2}+9x+20}
Combine like terms in x^{2}-6x+4x-24.
\frac{\left(x-6\right)\left(x+4\right)}{\left(x+4\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-2x-24}{x^{2}+9x+20}.
\frac{x-6}{x+5}
Cancel out x+4 in both numerator and denominator.
\frac{x^{2}-6x+4x-24}{x^{2}+9x+20}
Since \frac{x^{2}-6x}{x^{2}+9x+20} and \frac{4x-24}{x^{2}+9x+20} have the same denominator, add them by adding their numerators.
\frac{x^{2}-2x-24}{x^{2}+9x+20}
Combine like terms in x^{2}-6x+4x-24.
\frac{\left(x-6\right)\left(x+4\right)}{\left(x+4\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-2x-24}{x^{2}+9x+20}.
\frac{x-6}{x+5}
Cancel out x+4 in both numerator and denominator.
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y = 3x + 4
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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}