Ovrednoti
\frac{-6x^{6}+x-9}{\left(3-x\right)\left(x-1\right)}
Odvajajte w.r.t. x
\frac{24x^{7}-120x^{6}+108x^{5}+x^{2}-18x+33}{\left(\left(x-3\right)\left(x-1\right)\right)^{2}}
Graf
Delež
Kopirano v odložišče
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3}{3-x}-\frac{4}{x-1}
Faktorizirajte x^{2}-4x+3.
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-3\right)\left(x-1\right) in 3-x je \left(x-3\right)\left(x-1\right). Pomnožite \frac{3}{3-x} s/z \frac{-\left(x-1\right)}{-\left(x-1\right)}.
\frac{6x^{6}-3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)} in \frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)} imata isti imenovalec, zato ju odštejte tako, da odštejete njuna imenovalca.
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Izvedi množenje v 6x^{6}-3\left(-1\right)\left(x-1\right).
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik \left(x-3\right)\left(x-1\right) in x-1 je \left(x-3\right)\left(x-1\right). Pomnožite \frac{4}{x-1} s/z \frac{x-3}{x-3}.
\frac{6x^{6}+3x-3-4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)} in \frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)} imata isti imenovalec, zato ju odštejte tako, da odštejete njuna imenovalca.
\frac{6x^{6}+3x-3-4x+12}{\left(x-3\right)\left(x-1\right)}
Izvedi množenje v 6x^{6}+3x-3-4\left(x-3\right).
\frac{-x+6x^{6}+9}{\left(x-3\right)\left(x-1\right)}
Združite podobne člene v 6x^{6}+3x-3-4x+12.
\frac{-x+6x^{6}+9}{x^{2}-4x+3}
Razčlenite \left(x-3\right)\left(x-1\right).
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