Luacháil
\frac{x^{2}+3x-2}{2\left(2x-1\right)}
Fairsingigh
\frac{x^{2}+3x-2}{2\left(2x-1\right)}
Graf
Tráth na gCeist
Polynomial
5 fadhbanna cosúil le:
\frac{ { x }^{ 3 } -3 { x }^{ 2 } +3x-1 }{ 2x-1 } - \frac{ { x }^{ 2 } -3x }{ 2 }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{2\left(x^{3}-3x^{2}+3x-1\right)}{2\left(2x-1\right)}-\frac{\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-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 2x-1 agus 2 ná 2\left(2x-1\right). Méadaigh \frac{x^{3}-3x^{2}+3x-1}{2x-1} faoi \frac{2}{2}. Méadaigh \frac{x^{2}-3x}{2} faoi \frac{2x-1}{2x-1}.
\frac{2\left(x^{3}-3x^{2}+3x-1\right)-\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-1\right)}
Tá an t-ainmneoir céanna ag \frac{2\left(x^{3}-3x^{2}+3x-1\right)}{2\left(2x-1\right)} agus \frac{\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{2x^{3}-6x^{2}+6x-2-2x^{3}+x^{2}+6x^{2}-3x}{2\left(2x-1\right)}
Déan iolrúcháin in 2\left(x^{3}-3x^{2}+3x-1\right)-\left(x^{2}-3x\right)\left(2x-1\right).
\frac{x^{2}+3x-2}{2\left(2x-1\right)}
Cumaisc téarmaí comhchosúla in: 2x^{3}-6x^{2}+6x-2-2x^{3}+x^{2}+6x^{2}-3x.
\frac{x^{2}+3x-2}{4x-2}
Fairsingigh 2\left(2x-1\right)
\frac{2\left(x^{3}-3x^{2}+3x-1\right)}{2\left(2x-1\right)}-\frac{\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-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 2x-1 agus 2 ná 2\left(2x-1\right). Méadaigh \frac{x^{3}-3x^{2}+3x-1}{2x-1} faoi \frac{2}{2}. Méadaigh \frac{x^{2}-3x}{2} faoi \frac{2x-1}{2x-1}.
\frac{2\left(x^{3}-3x^{2}+3x-1\right)-\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-1\right)}
Tá an t-ainmneoir céanna ag \frac{2\left(x^{3}-3x^{2}+3x-1\right)}{2\left(2x-1\right)} agus \frac{\left(x^{2}-3x\right)\left(2x-1\right)}{2\left(2x-1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{2x^{3}-6x^{2}+6x-2-2x^{3}+x^{2}+6x^{2}-3x}{2\left(2x-1\right)}
Déan iolrúcháin in 2\left(x^{3}-3x^{2}+3x-1\right)-\left(x^{2}-3x\right)\left(2x-1\right).
\frac{x^{2}+3x-2}{2\left(2x-1\right)}
Cumaisc téarmaí comhchosúla in: 2x^{3}-6x^{2}+6x-2-2x^{3}+x^{2}+6x^{2}-3x.
\frac{x^{2}+3x-2}{4x-2}
Fairsingigh 2\left(2x-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}