Evaluate
\frac{x+4}{x+8}
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\frac{x+4}{x+8}
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\frac{x^{2}-5x+5x-16}{x^{2}+4x-32}
Since \frac{x^{2}-5x}{x^{2}+4x-32} and \frac{5x-16}{x^{2}+4x-32} have the same denominator, add them by adding their numerators.
\frac{x^{2}-16}{x^{2}+4x-32}
Combine like terms in x^{2}-5x+5x-16.
\frac{\left(x-4\right)\left(x+4\right)}{\left(x-4\right)\left(x+8\right)}
Factor the expressions that are not already factored in \frac{x^{2}-16}{x^{2}+4x-32}.
\frac{x+4}{x+8}
Cancel out x-4 in both numerator and denominator.
\frac{x^{2}-5x+5x-16}{x^{2}+4x-32}
Since \frac{x^{2}-5x}{x^{2}+4x-32} and \frac{5x-16}{x^{2}+4x-32} have the same denominator, add them by adding their numerators.
\frac{x^{2}-16}{x^{2}+4x-32}
Combine like terms in x^{2}-5x+5x-16.
\frac{\left(x-4\right)\left(x+4\right)}{\left(x-4\right)\left(x+8\right)}
Factor the expressions that are not already factored in \frac{x^{2}-16}{x^{2}+4x-32}.
\frac{x+4}{x+8}
Cancel out x-4 in both numerator and denominator.
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Simultaneous equation
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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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