\frac { 3 - x } { x - 2 } \div \frac { 5 } { ( x - 2 } - x - 2 )
Evaluate
-\frac{4\left(3-x\right)}{5\left(x-2\right)}
Expand
\frac{4\left(x-3\right)}{5\left(x-2\right)}
Graph
Share
Copied to clipboard
\frac{\left(3-x\right)\left(x-2-x-2\right)}{\left(x-2\right)\times 5}
Divide \frac{3-x}{x-2} by \frac{5}{x-2-x-2} by multiplying \frac{3-x}{x-2} by the reciprocal of \frac{5}{x-2-x-2}.
\frac{\left(3-x\right)\left(-2-2\right)}{\left(x-2\right)\times 5}
Combine x and -x to get 0.
\frac{\left(3-x\right)\left(-4\right)}{\left(x-2\right)\times 5}
Subtract 2 from -2 to get -4.
\frac{-12+4x}{\left(x-2\right)\times 5}
Use the distributive property to multiply 3-x by -4.
\frac{-12+4x}{5x-10}
Use the distributive property to multiply x-2 by 5.
\frac{\left(3-x\right)\left(x-2-x-2\right)}{\left(x-2\right)\times 5}
Divide \frac{3-x}{x-2} by \frac{5}{x-2-x-2} by multiplying \frac{3-x}{x-2} by the reciprocal of \frac{5}{x-2-x-2}.
\frac{\left(3-x\right)\left(-2-2\right)}{\left(x-2\right)\times 5}
Combine x and -x to get 0.
\frac{\left(3-x\right)\left(-4\right)}{\left(x-2\right)\times 5}
Subtract 2 from -2 to get -4.
\frac{-12+4x}{\left(x-2\right)\times 5}
Use the distributive property to multiply 3-x by -4.
\frac{-12+4x}{5x-10}
Use the distributive property to multiply x-2 by 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}