Evaluate
-\frac{z+1}{z-1}
Expand
-\frac{z+1}{z-1}
Quiz
Polynomial
5 problems similar to:
\frac { 1 - \frac { z } { z - 1 } } { 1 - \frac { z } { z + 1 } }
Share
Copied to clipboard
\frac{\frac{z-1}{z-1}-\frac{z}{z-1}}{1-\frac{z}{z+1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{z-1}{z-1}.
\frac{\frac{z-1-z}{z-1}}{1-\frac{z}{z+1}}
Since \frac{z-1}{z-1} and \frac{z}{z-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{-1}{z-1}}{1-\frac{z}{z+1}}
Combine like terms in z-1-z.
\frac{\frac{-1}{z-1}}{\frac{z+1}{z+1}-\frac{z}{z+1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{z+1}{z+1}.
\frac{\frac{-1}{z-1}}{\frac{z+1-z}{z+1}}
Since \frac{z+1}{z+1} and \frac{z}{z+1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{-1}{z-1}}{\frac{1}{z+1}}
Combine like terms in z+1-z.
\frac{-\left(z+1\right)}{z-1}
Divide \frac{-1}{z-1} by \frac{1}{z+1} by multiplying \frac{-1}{z-1} by the reciprocal of \frac{1}{z+1}.
\frac{-z-1}{z-1}
To find the opposite of z+1, find the opposite of each term.
\frac{\frac{z-1}{z-1}-\frac{z}{z-1}}{1-\frac{z}{z+1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{z-1}{z-1}.
\frac{\frac{z-1-z}{z-1}}{1-\frac{z}{z+1}}
Since \frac{z-1}{z-1} and \frac{z}{z-1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{-1}{z-1}}{1-\frac{z}{z+1}}
Combine like terms in z-1-z.
\frac{\frac{-1}{z-1}}{\frac{z+1}{z+1}-\frac{z}{z+1}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{z+1}{z+1}.
\frac{\frac{-1}{z-1}}{\frac{z+1-z}{z+1}}
Since \frac{z+1}{z+1} and \frac{z}{z+1} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{-1}{z-1}}{\frac{1}{z+1}}
Combine like terms in z+1-z.
\frac{-\left(z+1\right)}{z-1}
Divide \frac{-1}{z-1} by \frac{1}{z+1} by multiplying \frac{-1}{z-1} by the reciprocal of \frac{1}{z+1}.
\frac{-z-1}{z-1}
To find the opposite of z+1, find the opposite of each term.
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}