Evaluate
\frac{1}{x-6}
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\frac{1}{x-6}
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\frac{7x-12+7-6x}{x^{2}-11x+30}
Since \frac{7x-12}{x^{2}-11x+30} and \frac{7-6x}{x^{2}-11x+30} have the same denominator, add them by adding their numerators.
\frac{x-5}{x^{2}-11x+30}
Combine like terms in 7x-12+7-6x.
\frac{x-5}{\left(x-6\right)\left(x-5\right)}
Factor the expressions that are not already factored in \frac{x-5}{x^{2}-11x+30}.
\frac{1}{x-6}
Cancel out x-5 in both numerator and denominator.
\frac{7x-12+7-6x}{x^{2}-11x+30}
Since \frac{7x-12}{x^{2}-11x+30} and \frac{7-6x}{x^{2}-11x+30} have the same denominator, add them by adding their numerators.
\frac{x-5}{x^{2}-11x+30}
Combine like terms in 7x-12+7-6x.
\frac{x-5}{\left(x-6\right)\left(x-5\right)}
Factor the expressions that are not already factored in \frac{x-5}{x^{2}-11x+30}.
\frac{1}{x-6}
Cancel out x-5 in both numerator and denominator.
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}