Evaluate
\frac{7-4x}{2\left(x-2\right)}
Expand
-\frac{4x-7}{2\left(x-2\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { \frac { 3 } { x - 1 } - 4 } { 2 - \frac { 2 } { x - 1 } }
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\frac{\frac{3}{x-1}-\frac{4\left(x-1\right)}{x-1}}{2-\frac{2}{x-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x-1}{x-1}.
\frac{\frac{3-4\left(x-1\right)}{x-1}}{2-\frac{2}{x-1}}
Since \frac{3}{x-1} and \frac{4\left(x-1\right)}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{3-4x+4}{x-1}}{2-\frac{2}{x-1}}
Do the multiplications in 3-4\left(x-1\right).
\frac{\frac{7-4x}{x-1}}{2-\frac{2}{x-1}}
Combine like terms in 3-4x+4.
\frac{\frac{7-4x}{x-1}}{\frac{2\left(x-1\right)}{x-1}-\frac{2}{x-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x-1}{x-1}.
\frac{\frac{7-4x}{x-1}}{\frac{2\left(x-1\right)-2}{x-1}}
Since \frac{2\left(x-1\right)}{x-1} and \frac{2}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{7-4x}{x-1}}{\frac{2x-2-2}{x-1}}
Do the multiplications in 2\left(x-1\right)-2.
\frac{\frac{7-4x}{x-1}}{\frac{2x-4}{x-1}}
Combine like terms in 2x-2-2.
\frac{\left(7-4x\right)\left(x-1\right)}{\left(x-1\right)\left(2x-4\right)}
Divide \frac{7-4x}{x-1} by \frac{2x-4}{x-1} by multiplying \frac{7-4x}{x-1} by the reciprocal of \frac{2x-4}{x-1}.
\frac{-4x+7}{2x-4}
Cancel out x-1 in both numerator and denominator.
\frac{\frac{3}{x-1}-\frac{4\left(x-1\right)}{x-1}}{2-\frac{2}{x-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x-1}{x-1}.
\frac{\frac{3-4\left(x-1\right)}{x-1}}{2-\frac{2}{x-1}}
Since \frac{3}{x-1} and \frac{4\left(x-1\right)}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{3-4x+4}{x-1}}{2-\frac{2}{x-1}}
Do the multiplications in 3-4\left(x-1\right).
\frac{\frac{7-4x}{x-1}}{2-\frac{2}{x-1}}
Combine like terms in 3-4x+4.
\frac{\frac{7-4x}{x-1}}{\frac{2\left(x-1\right)}{x-1}-\frac{2}{x-1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x-1}{x-1}.
\frac{\frac{7-4x}{x-1}}{\frac{2\left(x-1\right)-2}{x-1}}
Since \frac{2\left(x-1\right)}{x-1} and \frac{2}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{7-4x}{x-1}}{\frac{2x-2-2}{x-1}}
Do the multiplications in 2\left(x-1\right)-2.
\frac{\frac{7-4x}{x-1}}{\frac{2x-4}{x-1}}
Combine like terms in 2x-2-2.
\frac{\left(7-4x\right)\left(x-1\right)}{\left(x-1\right)\left(2x-4\right)}
Divide \frac{7-4x}{x-1} by \frac{2x-4}{x-1} by multiplying \frac{7-4x}{x-1} by the reciprocal of \frac{2x-4}{x-1}.
\frac{-4x+7}{2x-4}
Cancel out x-1 in both numerator and denominator.
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}