Ovrednoti
\frac{x-3}{x\left(x-2\right)}
Razširi
\frac{x-3}{x\left(x-2\right)}
Graf
Delež
Kopirano v odložišče
\frac{x-2}{x\left(x-1\right)}-\frac{1}{x\left(x-2\right)\left(x-1\right)}
Faktorizirajte x^{2}-x. Faktorizirajte x^{3}-3x^{2}+2x.
\frac{\left(x-2\right)\left(x-2\right)}{x\left(x-2\right)\left(x-1\right)}-\frac{1}{x\left(x-2\right)\left(x-1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x\left(x-1\right) in x\left(x-2\right)\left(x-1\right) je x\left(x-2\right)\left(x-1\right). Pomnožite \frac{x-2}{x\left(x-1\right)} s/z \frac{x-2}{x-2}.
\frac{\left(x-2\right)\left(x-2\right)-1}{x\left(x-2\right)\left(x-1\right)}
Ker \frac{\left(x-2\right)\left(x-2\right)}{x\left(x-2\right)\left(x-1\right)} in \frac{1}{x\left(x-2\right)\left(x-1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}-2x-2x+4-1}{x\left(x-2\right)\left(x-1\right)}
Izvedi množenje v \left(x-2\right)\left(x-2\right)-1.
\frac{x^{2}-4x+3}{x\left(x-2\right)\left(x-1\right)}
Združite podobne člene v x^{2}-2x-2x+4-1.
\frac{\left(x-3\right)\left(x-1\right)}{x\left(x-2\right)\left(x-1\right)}
Faktorizirajte izraze, ki še niso faktorizirani v \frac{x^{2}-4x+3}{x\left(x-2\right)\left(x-1\right)}.
\frac{x-3}{x\left(x-2\right)}
Okrajšaj x-1 v števcu in imenovalcu.
\frac{x-3}{x^{2}-2x}
Razčlenite x\left(x-2\right).
\frac{x-2}{x\left(x-1\right)}-\frac{1}{x\left(x-2\right)\left(x-1\right)}
Faktorizirajte x^{2}-x. Faktorizirajte x^{3}-3x^{2}+2x.
\frac{\left(x-2\right)\left(x-2\right)}{x\left(x-2\right)\left(x-1\right)}-\frac{1}{x\left(x-2\right)\left(x-1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x\left(x-1\right) in x\left(x-2\right)\left(x-1\right) je x\left(x-2\right)\left(x-1\right). Pomnožite \frac{x-2}{x\left(x-1\right)} s/z \frac{x-2}{x-2}.
\frac{\left(x-2\right)\left(x-2\right)-1}{x\left(x-2\right)\left(x-1\right)}
Ker \frac{\left(x-2\right)\left(x-2\right)}{x\left(x-2\right)\left(x-1\right)} in \frac{1}{x\left(x-2\right)\left(x-1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{x^{2}-2x-2x+4-1}{x\left(x-2\right)\left(x-1\right)}
Izvedi množenje v \left(x-2\right)\left(x-2\right)-1.
\frac{x^{2}-4x+3}{x\left(x-2\right)\left(x-1\right)}
Združite podobne člene v x^{2}-2x-2x+4-1.
\frac{\left(x-3\right)\left(x-1\right)}{x\left(x-2\right)\left(x-1\right)}
Faktorizirajte izraze, ki še niso faktorizirani v \frac{x^{2}-4x+3}{x\left(x-2\right)\left(x-1\right)}.
\frac{x-3}{x\left(x-2\right)}
Okrajšaj x-1 v števcu in imenovalcu.
\frac{x-3}{x^{2}-2x}
Razčlenite x\left(x-2\right).
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