Evaluate
-1-\frac{1}{x}
Expand
-1-\frac{1}{x}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { - x + 1 } { x + 1 } - \frac { 3 x + 1 } { x ^ { 2 } + x } =
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\frac{-x+1}{x+1}-\frac{3x+1}{x\left(x+1\right)}
Factor x^{2}+x.
\frac{\left(-x+1\right)x}{x\left(x+1\right)}-\frac{3x+1}{x\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+1 and x\left(x+1\right) is x\left(x+1\right). Multiply \frac{-x+1}{x+1} times \frac{x}{x}.
\frac{\left(-x+1\right)x-\left(3x+1\right)}{x\left(x+1\right)}
Since \frac{\left(-x+1\right)x}{x\left(x+1\right)} and \frac{3x+1}{x\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{-x^{2}+x-3x-1}{x\left(x+1\right)}
Do the multiplications in \left(-x+1\right)x-\left(3x+1\right).
\frac{-x^{2}-2x-1}{x\left(x+1\right)}
Combine like terms in -x^{2}+x-3x-1.
\frac{\left(-x-1\right)\left(x+1\right)}{x\left(x+1\right)}
Factor the expressions that are not already factored in \frac{-x^{2}-2x-1}{x\left(x+1\right)}.
\frac{-\left(x+1\right)\left(x+1\right)}{x\left(x+1\right)}
Extract the negative sign in -1-x.
\frac{-\left(x+1\right)}{x}
Cancel out x+1 in both numerator and denominator.
\frac{-x-1}{x}
To find the opposite of x+1, find the opposite of each term.
\frac{-x+1}{x+1}-\frac{3x+1}{x\left(x+1\right)}
Factor x^{2}+x.
\frac{\left(-x+1\right)x}{x\left(x+1\right)}-\frac{3x+1}{x\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+1 and x\left(x+1\right) is x\left(x+1\right). Multiply \frac{-x+1}{x+1} times \frac{x}{x}.
\frac{\left(-x+1\right)x-\left(3x+1\right)}{x\left(x+1\right)}
Since \frac{\left(-x+1\right)x}{x\left(x+1\right)} and \frac{3x+1}{x\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{-x^{2}+x-3x-1}{x\left(x+1\right)}
Do the multiplications in \left(-x+1\right)x-\left(3x+1\right).
\frac{-x^{2}-2x-1}{x\left(x+1\right)}
Combine like terms in -x^{2}+x-3x-1.
\frac{\left(-x-1\right)\left(x+1\right)}{x\left(x+1\right)}
Factor the expressions that are not already factored in \frac{-x^{2}-2x-1}{x\left(x+1\right)}.
\frac{-\left(x+1\right)\left(x+1\right)}{x\left(x+1\right)}
Extract the negative sign in -1-x.
\frac{-\left(x+1\right)}{x}
Cancel out x+1 in both numerator and denominator.
\frac{-x-1}{x}
To find the opposite of x+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}