Evaluate
\frac{2\left(x-8\right)}{63\left(x+7\right)}
Expand
\frac{2\left(x-8\right)}{63\left(x+7\right)}
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\frac{x-1}{7\left(x+7\right)}-\frac{x+1}{9\left(x+7\right)}
Factor 7x+49. Factor 9x+63.
\frac{9\left(x-1\right)}{63\left(x+7\right)}-\frac{7\left(x+1\right)}{63\left(x+7\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7\left(x+7\right) and 9\left(x+7\right) is 63\left(x+7\right). Multiply \frac{x-1}{7\left(x+7\right)} times \frac{9}{9}. Multiply \frac{x+1}{9\left(x+7\right)} times \frac{7}{7}.
\frac{9\left(x-1\right)-7\left(x+1\right)}{63\left(x+7\right)}
Since \frac{9\left(x-1\right)}{63\left(x+7\right)} and \frac{7\left(x+1\right)}{63\left(x+7\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{9x-9-7x-7}{63\left(x+7\right)}
Do the multiplications in 9\left(x-1\right)-7\left(x+1\right).
\frac{2x-16}{63\left(x+7\right)}
Combine like terms in 9x-9-7x-7.
\frac{2x-16}{63x+441}
Expand 63\left(x+7\right).
\frac{x-1}{7\left(x+7\right)}-\frac{x+1}{9\left(x+7\right)}
Factor 7x+49. Factor 9x+63.
\frac{9\left(x-1\right)}{63\left(x+7\right)}-\frac{7\left(x+1\right)}{63\left(x+7\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7\left(x+7\right) and 9\left(x+7\right) is 63\left(x+7\right). Multiply \frac{x-1}{7\left(x+7\right)} times \frac{9}{9}. Multiply \frac{x+1}{9\left(x+7\right)} times \frac{7}{7}.
\frac{9\left(x-1\right)-7\left(x+1\right)}{63\left(x+7\right)}
Since \frac{9\left(x-1\right)}{63\left(x+7\right)} and \frac{7\left(x+1\right)}{63\left(x+7\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{9x-9-7x-7}{63\left(x+7\right)}
Do the multiplications in 9\left(x-1\right)-7\left(x+1\right).
\frac{2x-16}{63\left(x+7\right)}
Combine like terms in 9x-9-7x-7.
\frac{2x-16}{63x+441}
Expand 63\left(x+7\right).
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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