6+((x+5) \div \frac{ { x }^{ 2 } +3x-10 }{ x-1 }
Evaluate
\frac{7x-13}{x-2}
Expand
\frac{7x-13}{x-2}
Graph
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6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}
Divide x+5 by \frac{x^{2}+3x-10}{x-1} by multiplying x+5 by the reciprocal of \frac{x^{2}+3x-10}{x-1}.
6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}.
6+\frac{x-1}{x-2}
Cancel out x+5 in both numerator and denominator.
\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x-2}{x-2}.
\frac{6\left(x-2\right)+x-1}{x-2}
Since \frac{6\left(x-2\right)}{x-2} and \frac{x-1}{x-2} have the same denominator, add them by adding their numerators.
\frac{6x-12+x-1}{x-2}
Do the multiplications in 6\left(x-2\right)+x-1.
\frac{7x-13}{x-2}
Combine like terms in 6x-12+x-1.
6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}
Divide x+5 by \frac{x^{2}+3x-10}{x-1} by multiplying x+5 by the reciprocal of \frac{x^{2}+3x-10}{x-1}.
6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}
Factor the expressions that are not already factored in \frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}.
6+\frac{x-1}{x-2}
Cancel out x+5 in both numerator and denominator.
\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x-2}{x-2}.
\frac{6\left(x-2\right)+x-1}{x-2}
Since \frac{6\left(x-2\right)}{x-2} and \frac{x-1}{x-2} have the same denominator, add them by adding their numerators.
\frac{6x-12+x-1}{x-2}
Do the multiplications in 6\left(x-2\right)+x-1.
\frac{7x-13}{x-2}
Combine like terms in 6x-12+x-1.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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}