Evaluate
\frac{14\left(x-3\right)}{45}
Expand
\frac{14x}{45}-\frac{14}{15}
Graph
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\frac{14}{45}\left(x-3\right)
Combine \frac{x-3}{9} and \frac{x-3}{5} to get \frac{14}{45}\left(x-3\right).
\frac{14}{45}x+\frac{14}{45}\left(-3\right)
Use the distributive property to multiply \frac{14}{45} by x-3.
\frac{14}{45}x+\frac{14\left(-3\right)}{45}
Express \frac{14}{45}\left(-3\right) as a single fraction.
\frac{14}{45}x+\frac{-42}{45}
Multiply 14 and -3 to get -42.
\frac{14}{45}x-\frac{14}{15}
Reduce the fraction \frac{-42}{45} to lowest terms by extracting and canceling out 3.
\frac{14}{45}\left(x-3\right)
Combine \frac{x-3}{9} and \frac{x-3}{5} to get \frac{14}{45}\left(x-3\right).
\frac{14}{45}x+\frac{14}{45}\left(-3\right)
Use the distributive property to multiply \frac{14}{45} by x-3.
\frac{14}{45}x+\frac{14\left(-3\right)}{45}
Express \frac{14}{45}\left(-3\right) as a single fraction.
\frac{14}{45}x+\frac{-42}{45}
Multiply 14 and -3 to get -42.
\frac{14}{45}x-\frac{14}{15}
Reduce the fraction \frac{-42}{45} to lowest terms by extracting and canceling out 3.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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