Luacháil
\frac{-6x^{6}+x-9}{\left(3-x\right)\left(x-1\right)}
Difreálaigh 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
Tráth na gCeist
Polynomial
5 fadhbanna cosúil le:
\frac { 6 x ^ { 6 } } { x ^ { 2 } - 4 x + 3 } - \frac { 3 } { 3 - x } - \frac { 4 } { x - 1 }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{6x^{6}}{\left(x-3\right)\left(x-1\right)}-\frac{3}{3-x}-\frac{4}{x-1}
Fachtóirigh 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}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x-3\right)\left(x-1\right) agus 3-x ná \left(x-3\right)\left(x-1\right). Méadaigh \frac{3}{3-x} faoi \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}
Tá an t-ainmneoir céanna ag \frac{6x^{6}}{\left(x-3\right)\left(x-1\right)} agus \frac{3\left(-1\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)}-\frac{4}{x-1}
Déan iolrúcháin in 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)}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x-3\right)\left(x-1\right) agus x-1 ná \left(x-3\right)\left(x-1\right). Méadaigh \frac{4}{x-1} faoi \frac{x-3}{x-3}.
\frac{6x^{6}+3x-3-4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)}
Tá an t-ainmneoir céanna ag \frac{6x^{6}+3x-3}{\left(x-3\right)\left(x-1\right)} agus \frac{4\left(x-3\right)}{\left(x-3\right)\left(x-1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{6x^{6}+3x-3-4x+12}{\left(x-3\right)\left(x-1\right)}
Déan iolrúcháin in 6x^{6}+3x-3-4\left(x-3\right).
\frac{-x+6x^{6}+9}{\left(x-3\right)\left(x-1\right)}
Cumaisc téarmaí comhchosúla in: 6x^{6}+3x-3-4x+12.
\frac{-x+6x^{6}+9}{x^{2}-4x+3}
Fairsingigh \left(x-3\right)\left(x-1\right)
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}