Evaluate
-\frac{5}{x-2}
Expand
-\frac{5}{x-2}
Graph
Share
Copied to clipboard
\frac{7}{x-2}-\frac{6\times 10x}{5x\left(x-2\right)}
Divide \frac{6}{5x} by \frac{x-2}{10x} by multiplying \frac{6}{5x} by the reciprocal of \frac{x-2}{10x}.
\frac{7}{x-2}-\frac{2\times 6}{x-2}
Cancel out 5x in both numerator and denominator.
\frac{7}{x-2}-\frac{12}{x-2}
Multiply 2 and 6 to get 12.
\frac{-5}{x-2}
Since \frac{7}{x-2} and \frac{12}{x-2} have the same denominator, subtract them by subtracting their numerators. Subtract 12 from 7 to get -5.
\frac{7}{x-2}-\frac{6\times 10x}{5x\left(x-2\right)}
Divide \frac{6}{5x} by \frac{x-2}{10x} by multiplying \frac{6}{5x} by the reciprocal of \frac{x-2}{10x}.
\frac{7}{x-2}-\frac{2\times 6}{x-2}
Cancel out 5x in both numerator and denominator.
\frac{7}{x-2}-\frac{12}{x-2}
Multiply 2 and 6 to get 12.
\frac{-5}{x-2}
Since \frac{7}{x-2} and \frac{12}{x-2} have the same denominator, subtract them by subtracting their numerators. Subtract 12 from 7 to get -5.
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}