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