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\frac{x}{x+4}
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\frac{x}{x+4}
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\frac{x+3}{x+4}-\frac{3\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{3x-6}{x^{2}+2x-8}.
\frac{x+3}{x+4}-\frac{3}{x+4}
Cancel out x-2 in both numerator and denominator.
\frac{x+3-3}{x+4}
Since \frac{x+3}{x+4} and \frac{3}{x+4} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{x+4}
Combine like terms in x+3-3.
\frac{x+3}{x+4}-\frac{3\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{3x-6}{x^{2}+2x-8}.
\frac{x+3}{x+4}-\frac{3}{x+4}
Cancel out x-2 in both numerator and denominator.
\frac{x+3-3}{x+4}
Since \frac{x+3}{x+4} and \frac{3}{x+4} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{x+4}
Combine like terms in x+3-3.
Examples
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Matrix
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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}