Evaluate
-\frac{18}{\left(x-3\right)\left(2x+3\right)}
Factor
-\frac{18}{\left(x-3\right)\left(2x+3\right)}
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\frac{4\left(x-3\right)}{\left(x-3\right)\left(2x+3\right)}-\frac{2\left(2x+3\right)}{\left(x-3\right)\left(2x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2x+3 and x-3 is \left(x-3\right)\left(2x+3\right). Multiply \frac{4}{2x+3} times \frac{x-3}{x-3}. Multiply \frac{2}{x-3} times \frac{2x+3}{2x+3}.
\frac{4\left(x-3\right)-2\left(2x+3\right)}{\left(x-3\right)\left(2x+3\right)}
Since \frac{4\left(x-3\right)}{\left(x-3\right)\left(2x+3\right)} and \frac{2\left(2x+3\right)}{\left(x-3\right)\left(2x+3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{4x-12-4x-6}{\left(x-3\right)\left(2x+3\right)}
Do the multiplications in 4\left(x-3\right)-2\left(2x+3\right).
\frac{-18}{\left(x-3\right)\left(2x+3\right)}
Combine like terms in 4x-12-4x-6.
\frac{-18}{2x^{2}-3x-9}
Expand \left(x-3\right)\left(2x+3\right).
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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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