Evaluate
\frac{x-3}{x+5}
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\frac{x-3}{x+5}
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\frac{x^{2}-4x+3x-6}{x^{2}+7x+10}
Since \frac{x^{2}-4x}{x^{2}+7x+10} and \frac{3x-6}{x^{2}+7x+10} have the same denominator, add them by adding their numerators.
\frac{x^{2}-x-6}{x^{2}+7x+10}
Combine like terms in x^{2}-4x+3x-6.
\frac{\left(x-3\right)\left(x+2\right)}{\left(x+2\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-x-6}{x^{2}+7x+10}.
\frac{x-3}{x+5}
Cancel out x+2 in both numerator and denominator.
\frac{x^{2}-4x+3x-6}{x^{2}+7x+10}
Since \frac{x^{2}-4x}{x^{2}+7x+10} and \frac{3x-6}{x^{2}+7x+10} have the same denominator, add them by adding their numerators.
\frac{x^{2}-x-6}{x^{2}+7x+10}
Combine like terms in x^{2}-4x+3x-6.
\frac{\left(x-3\right)\left(x+2\right)}{\left(x+2\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-x-6}{x^{2}+7x+10}.
\frac{x-3}{x+5}
Cancel out x+2 in both numerator and denominator.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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