Evaluate
\frac{x^{2}-2x+4}{x\left(x-1\right)}
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\frac{x^{2}-2x+4}{x\left(x-1\right)}
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\frac{\left(x^{2}-2x+4\right)x}{x^{2}\left(x-1\right)}
Divide \frac{x^{2}-2x+4}{x^{2}} by \frac{x-1}{x} by multiplying \frac{x^{2}-2x+4}{x^{2}} by the reciprocal of \frac{x-1}{x}.
\frac{x^{2}-2x+4}{x\left(x-1\right)}
Cancel out x in both numerator and denominator.
\frac{x^{2}-2x+4}{x^{2}-x}
Use the distributive property to multiply x by x-1.
\frac{\left(x^{2}-2x+4\right)x}{x^{2}\left(x-1\right)}
Divide \frac{x^{2}-2x+4}{x^{2}} by \frac{x-1}{x} by multiplying \frac{x^{2}-2x+4}{x^{2}} by the reciprocal of \frac{x-1}{x}.
\frac{x^{2}-2x+4}{x\left(x-1\right)}
Cancel out x in both numerator and denominator.
\frac{x^{2}-2x+4}{x^{2}-x}
Use the distributive property to multiply x by x-1.
Examples
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Matrix
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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}