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