Evaluate
\frac{2\left(x^{2}+6x-9\right)}{x^{2}-9}
Expand
\frac{2\left(x^{2}+6x-9\right)}{x^{2}-9}
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\frac{x\left(x+9\right)}{x\left(x+3\right)}+\frac{x^{2}-9}{x^{2}-6x+9}
Factor the expressions that are not already factored in \frac{x^{2}+9x}{x^{2}+3x}.
\frac{x+9}{x+3}+\frac{x^{2}-9}{x^{2}-6x+9}
Cancel out x in both numerator and denominator.
\frac{x+9}{x+3}+\frac{\left(x-3\right)\left(x+3\right)}{\left(x-3\right)^{2}}
Factor the expressions that are not already factored in \frac{x^{2}-9}{x^{2}-6x+9}.
\frac{x+9}{x+3}+\frac{x+3}{x-3}
Cancel out x-3 in both numerator and denominator.
\frac{\left(x+9\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+3 and x-3 is \left(x-3\right)\left(x+3\right). Multiply \frac{x+9}{x+3} times \frac{x-3}{x-3}. Multiply \frac{x+3}{x-3} times \frac{x+3}{x+3}.
\frac{\left(x+9\right)\left(x-3\right)+\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}
Since \frac{\left(x+9\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)} and \frac{\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)} have the same denominator, add them by adding their numerators.
\frac{x^{2}-3x+9x-27+x^{2}+3x+3x+9}{\left(x-3\right)\left(x+3\right)}
Do the multiplications in \left(x+9\right)\left(x-3\right)+\left(x+3\right)\left(x+3\right).
\frac{2x^{2}+12x-18}{\left(x-3\right)\left(x+3\right)}
Combine like terms in x^{2}-3x+9x-27+x^{2}+3x+3x+9.
\frac{2x^{2}+12x-18}{x^{2}-9}
Expand \left(x-3\right)\left(x+3\right).
\frac{x\left(x+9\right)}{x\left(x+3\right)}+\frac{x^{2}-9}{x^{2}-6x+9}
Factor the expressions that are not already factored in \frac{x^{2}+9x}{x^{2}+3x}.
\frac{x+9}{x+3}+\frac{x^{2}-9}{x^{2}-6x+9}
Cancel out x in both numerator and denominator.
\frac{x+9}{x+3}+\frac{\left(x-3\right)\left(x+3\right)}{\left(x-3\right)^{2}}
Factor the expressions that are not already factored in \frac{x^{2}-9}{x^{2}-6x+9}.
\frac{x+9}{x+3}+\frac{x+3}{x-3}
Cancel out x-3 in both numerator and denominator.
\frac{\left(x+9\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+3 and x-3 is \left(x-3\right)\left(x+3\right). Multiply \frac{x+9}{x+3} times \frac{x-3}{x-3}. Multiply \frac{x+3}{x-3} times \frac{x+3}{x+3}.
\frac{\left(x+9\right)\left(x-3\right)+\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}
Since \frac{\left(x+9\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)} and \frac{\left(x+3\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)} have the same denominator, add them by adding their numerators.
\frac{x^{2}-3x+9x-27+x^{2}+3x+3x+9}{\left(x-3\right)\left(x+3\right)}
Do the multiplications in \left(x+9\right)\left(x-3\right)+\left(x+3\right)\left(x+3\right).
\frac{2x^{2}+12x-18}{\left(x-3\right)\left(x+3\right)}
Combine like terms in x^{2}-3x+9x-27+x^{2}+3x+3x+9.
\frac{2x^{2}+12x-18}{x^{2}-9}
Expand \left(x-3\right)\left(x+3\right).
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Simultaneous equation
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Differentiation
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Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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