Evaluate
\frac{11}{30\left(x+1\right)}
Factor
\frac{11}{30\left(x+1\right)}
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\frac{6}{5\left(x+1\right)}-\frac{5}{6\left(x+1\right)}
Factor 5x+5. Factor 6x+6.
\frac{6\times 6}{30\left(x+1\right)}-\frac{5\times 5}{30\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5\left(x+1\right) and 6\left(x+1\right) is 30\left(x+1\right). Multiply \frac{6}{5\left(x+1\right)} times \frac{6}{6}. Multiply \frac{5}{6\left(x+1\right)} times \frac{5}{5}.
\frac{6\times 6-5\times 5}{30\left(x+1\right)}
Since \frac{6\times 6}{30\left(x+1\right)} and \frac{5\times 5}{30\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{36-25}{30\left(x+1\right)}
Do the multiplications in 6\times 6-5\times 5.
\frac{11}{30\left(x+1\right)}
Do the calculations in 36-25.
\frac{11}{30x+30}
Expand 30\left(x+1\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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}