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\frac{5x+6-\left(3x+16\right)}{x-5}
Since \frac{5x+6}{x-5} and \frac{3x+16}{x-5} have the same denominator, subtract them by subtracting their numerators.
\frac{5x+6-3x-16}{x-5}
Do the multiplications in 5x+6-\left(3x+16\right).
\frac{2x-10}{x-5}
Combine like terms in 5x+6-3x-16.
\frac{2\left(x-5\right)}{x-5}
Factor the expressions that are not already factored in \frac{2x-10}{x-5}.
2
Cancel out x-5 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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