Ovrednoti
-\frac{1}{\left(x-2\right)\left(x-1\right)}
Razširi
-\frac{1}{\left(x-2\right)\left(x-1\right)}
Graf
Delež
Kopirano v odložišče
\frac{\left(2x^{2}-3x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)}-\frac{\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x-1 in x-2 je \left(x-2\right)\left(x-1\right). Pomnožite \frac{2x^{2}-3x+2}{x-1} s/z \frac{x-2}{x-2}. Pomnožite \frac{2x^{2}-5x+3}{x-2} s/z \frac{x-1}{x-1}.
\frac{\left(2x^{2}-3x+2\right)\left(x-2\right)-\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}
Ker \frac{\left(2x^{2}-3x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)} in \frac{\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{2x^{3}-4x^{2}-3x^{2}+6x+2x-4-2x^{3}+2x^{2}+5x^{2}-5x-3x+3}{\left(x-2\right)\left(x-1\right)}
Izvedi množenje v \left(2x^{2}-3x+2\right)\left(x-2\right)-\left(2x^{2}-5x+3\right)\left(x-1\right).
\frac{-1}{\left(x-2\right)\left(x-1\right)}
Združite podobne člene v 2x^{3}-4x^{2}-3x^{2}+6x+2x-4-2x^{3}+2x^{2}+5x^{2}-5x-3x+3.
\frac{-1}{x^{2}-3x+2}
Razčlenite \left(x-2\right)\left(x-1\right).
\frac{\left(2x^{2}-3x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)}-\frac{\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik x-1 in x-2 je \left(x-2\right)\left(x-1\right). Pomnožite \frac{2x^{2}-3x+2}{x-1} s/z \frac{x-2}{x-2}. Pomnožite \frac{2x^{2}-5x+3}{x-2} s/z \frac{x-1}{x-1}.
\frac{\left(2x^{2}-3x+2\right)\left(x-2\right)-\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)}
Ker \frac{\left(2x^{2}-3x+2\right)\left(x-2\right)}{\left(x-2\right)\left(x-1\right)} in \frac{\left(2x^{2}-5x+3\right)\left(x-1\right)}{\left(x-2\right)\left(x-1\right)} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.
\frac{2x^{3}-4x^{2}-3x^{2}+6x+2x-4-2x^{3}+2x^{2}+5x^{2}-5x-3x+3}{\left(x-2\right)\left(x-1\right)}
Izvedi množenje v \left(2x^{2}-3x+2\right)\left(x-2\right)-\left(2x^{2}-5x+3\right)\left(x-1\right).
\frac{-1}{\left(x-2\right)\left(x-1\right)}
Združite podobne člene v 2x^{3}-4x^{2}-3x^{2}+6x+2x-4-2x^{3}+2x^{2}+5x^{2}-5x-3x+3.
\frac{-1}{x^{2}-3x+2}
Razčlenite \left(x-2\right)\left(x-1\right).
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