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-\frac{12}{x+5}
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-\frac{12}{x+5}
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\frac{x-5-\left(x+7\right)}{x+5}
Since \frac{x-5}{x+5} and \frac{x+7}{x+5} have the same denominator, subtract them by subtracting their numerators.
\frac{x-5-x-7}{x+5}
Do the multiplications in x-5-\left(x+7\right).
\frac{-12}{x+5}
Combine like terms in x-5-x-7.
\frac{x-5-\left(x+7\right)}{x+5}
Since \frac{x-5}{x+5} and \frac{x+7}{x+5} have the same denominator, subtract them by subtracting their numerators.
\frac{x-5-x-7}{x+5}
Do the multiplications in x-5-\left(x+7\right).
\frac{-12}{x+5}
Combine like terms in x-5-x-7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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