Evaluate
\frac{9}{x-3}
Differentiate w.r.t. x
-\frac{9}{\left(x-3\right)^{2}}
Graph
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\frac{x^{2}}{x-3}+\frac{\left(-x-3\right)\left(x-3\right)}{x-3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -x-3 times \frac{x-3}{x-3}.
\frac{x^{2}+\left(-x-3\right)\left(x-3\right)}{x-3}
Since \frac{x^{2}}{x-3} and \frac{\left(-x-3\right)\left(x-3\right)}{x-3} have the same denominator, add them by adding their numerators.
\frac{x^{2}-x^{2}+3x-3x+9}{x-3}
Do the multiplications in x^{2}+\left(-x-3\right)\left(x-3\right).
\frac{9}{x-3}
Combine like terms in x^{2}-x^{2}+3x-3x+9.
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Limits
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