Evaluate
\frac{14}{3\left(x-3\right)}
Factor
\frac{14}{3\left(x-3\right)}
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\frac{5}{3\left(x-3\right)}+\frac{3}{x-3}
Factor 3x-9.
\frac{5}{3\left(x-3\right)}+\frac{3\times 3}{3\left(x-3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3\left(x-3\right) and x-3 is 3\left(x-3\right). Multiply \frac{3}{x-3} times \frac{3}{3}.
\frac{5+3\times 3}{3\left(x-3\right)}
Since \frac{5}{3\left(x-3\right)} and \frac{3\times 3}{3\left(x-3\right)} have the same denominator, add them by adding their numerators.
\frac{5+9}{3\left(x-3\right)}
Do the multiplications in 5+3\times 3.
\frac{14}{3\left(x-3\right)}
Do the calculations in 5+9.
\frac{14}{3x-9}
Expand 3\left(x-3\right).
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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