Evaluate
-\frac{14\left(x-6\right)}{\left(x-8\right)\left(x+6\right)}
Expand
-\frac{14\left(x-6\right)}{\left(x-8\right)\left(x+6\right)}
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\frac{\left(x-6\right)\left(x-8\right)}{\left(x-8\right)\left(x+6\right)}-\frac{\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+6 and x-8 is \left(x-8\right)\left(x+6\right). Multiply \frac{x-6}{x+6} times \frac{x-8}{x-8}. Multiply \frac{x-6}{x-8} times \frac{x+6}{x+6}.
\frac{\left(x-6\right)\left(x-8\right)-\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)}
Since \frac{\left(x-6\right)\left(x-8\right)}{\left(x-8\right)\left(x+6\right)} and \frac{\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-8x-6x+48-x^{2}-6x+6x+36}{\left(x-8\right)\left(x+6\right)}
Do the multiplications in \left(x-6\right)\left(x-8\right)-\left(x-6\right)\left(x+6\right).
\frac{-14x+84}{\left(x-8\right)\left(x+6\right)}
Combine like terms in x^{2}-8x-6x+48-x^{2}-6x+6x+36.
\frac{-14x+84}{x^{2}-2x-48}
Expand \left(x-8\right)\left(x+6\right).
\frac{\left(x-6\right)\left(x-8\right)}{\left(x-8\right)\left(x+6\right)}-\frac{\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+6 and x-8 is \left(x-8\right)\left(x+6\right). Multiply \frac{x-6}{x+6} times \frac{x-8}{x-8}. Multiply \frac{x-6}{x-8} times \frac{x+6}{x+6}.
\frac{\left(x-6\right)\left(x-8\right)-\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)}
Since \frac{\left(x-6\right)\left(x-8\right)}{\left(x-8\right)\left(x+6\right)} and \frac{\left(x-6\right)\left(x+6\right)}{\left(x-8\right)\left(x+6\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-8x-6x+48-x^{2}-6x+6x+36}{\left(x-8\right)\left(x+6\right)}
Do the multiplications in \left(x-6\right)\left(x-8\right)-\left(x-6\right)\left(x+6\right).
\frac{-14x+84}{\left(x-8\right)\left(x+6\right)}
Combine like terms in x^{2}-8x-6x+48-x^{2}-6x+6x+36.
\frac{-14x+84}{x^{2}-2x-48}
Expand \left(x-8\right)\left(x+6\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
Arithmetic
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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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