Evaluate
\frac{x+11}{x-2}
Expand
\frac{x+11}{x-2}
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\frac{\left(x-10\right)\left(x+10\right)}{\left(x-10\right)\left(x-2\right)}\times \frac{x^{2}+14x+33}{x^{2}+13x+30}
Factor the expressions that are not already factored in \frac{x^{2}-100}{x^{2}-12x+20}.
\frac{x+10}{x-2}\times \frac{x^{2}+14x+33}{x^{2}+13x+30}
Cancel out x-10 in both numerator and denominator.
\frac{x+10}{x-2}\times \frac{\left(x+3\right)\left(x+11\right)}{\left(x+3\right)\left(x+10\right)}
Factor the expressions that are not already factored in \frac{x^{2}+14x+33}{x^{2}+13x+30}.
\frac{x+10}{x-2}\times \frac{x+11}{x+10}
Cancel out x+3 in both numerator and denominator.
\frac{\left(x+10\right)\left(x+11\right)}{\left(x-2\right)\left(x+10\right)}
Multiply \frac{x+10}{x-2} times \frac{x+11}{x+10} by multiplying numerator times numerator and denominator times denominator.
\frac{x+11}{x-2}
Cancel out x+10 in both numerator and denominator.
\frac{\left(x-10\right)\left(x+10\right)}{\left(x-10\right)\left(x-2\right)}\times \frac{x^{2}+14x+33}{x^{2}+13x+30}
Factor the expressions that are not already factored in \frac{x^{2}-100}{x^{2}-12x+20}.
\frac{x+10}{x-2}\times \frac{x^{2}+14x+33}{x^{2}+13x+30}
Cancel out x-10 in both numerator and denominator.
\frac{x+10}{x-2}\times \frac{\left(x+3\right)\left(x+11\right)}{\left(x+3\right)\left(x+10\right)}
Factor the expressions that are not already factored in \frac{x^{2}+14x+33}{x^{2}+13x+30}.
\frac{x+10}{x-2}\times \frac{x+11}{x+10}
Cancel out x+3 in both numerator and denominator.
\frac{\left(x+10\right)\left(x+11\right)}{\left(x-2\right)\left(x+10\right)}
Multiply \frac{x+10}{x-2} times \frac{x+11}{x+10} by multiplying numerator times numerator and denominator times denominator.
\frac{x+11}{x-2}
Cancel out x+10 in both numerator and denominator.
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Simultaneous equation
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Differentiation
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Integration
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Limits
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