Evaluate
\frac{\left(\frac{x-1}{x}\right)^{2}}{x^{2}+3x+1}
Expand
\frac{x^{2}-2x+1}{x^{2}\left(x^{2}+3x+1\right)}
Graph
Share
Copied to clipboard
\frac{\frac{x^{2}+1-2x}{x}}{\left(x^{2}+1+3x\right)x}
Express \frac{\frac{\frac{x^{2}+1-2x}{x}}{x^{2}+1+3x}}{x} as a single fraction.
\frac{x^{2}+1-2x}{x\left(x^{2}+1+3x\right)x}
Express \frac{\frac{x^{2}+1-2x}{x}}{\left(x^{2}+1+3x\right)x} as a single fraction.
\frac{x^{2}+1-2x}{x^{2}\left(x^{2}+1+3x\right)}
Multiply x and x to get x^{2}.
\frac{x^{2}+1-2x}{x^{4}+x^{2}+3x^{3}}
Use the distributive property to multiply x^{2} by x^{2}+1+3x.
\frac{\frac{x^{2}+1-2x}{x}}{\left(x^{2}+1+3x\right)x}
Express \frac{\frac{\frac{x^{2}+1-2x}{x}}{x^{2}+1+3x}}{x} as a single fraction.
\frac{x^{2}+1-2x}{x\left(x^{2}+1+3x\right)x}
Express \frac{\frac{x^{2}+1-2x}{x}}{\left(x^{2}+1+3x\right)x} as a single fraction.
\frac{x^{2}+1-2x}{x^{2}\left(x^{2}+1+3x\right)}
Multiply x and x to get x^{2}.
\frac{x^{2}+1-2x}{x^{4}+x^{2}+3x^{3}}
Use the distributive property to multiply x^{2} by x^{2}+1+3x.
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}