Luacháil
\frac{7+3x-3x^{2}}{x\left(x+1\right)}
Fairsingigh
\frac{7+3x-3x^{2}}{x\left(x+1\right)}
Graf
Tráth na gCeist
Polynomial
5 fadhbanna cosúil le:
\frac{ 5 }{ x } - \frac{ 3x+2 }{ x+1 } + \frac{ 2 }{ { x }^{ 2 } +x } =
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{5\left(x+1\right)}{x\left(x+1\right)}-\frac{\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de x agus x+1 ná x\left(x+1\right). Méadaigh \frac{5}{x} faoi \frac{x+1}{x+1}. Méadaigh \frac{3x+2}{x+1} faoi \frac{x}{x}.
\frac{5\left(x+1\right)-\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Tá an t-ainmneoir céanna ag \frac{5\left(x+1\right)}{x\left(x+1\right)} agus \frac{\left(3x+2\right)x}{x\left(x+1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{5x+5-3x^{2}-2x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Déan iolrúcháin in 5\left(x+1\right)-\left(3x+2\right)x.
\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Cumaisc téarmaí comhchosúla in: 5x+5-3x^{2}-2x.
\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x\left(x+1\right)}
Fachtóirigh x^{2}+x.
\frac{3x+5-3x^{2}+2}{x\left(x+1\right)}
Tá an t-ainmneoir céanna ag \frac{3x+5-3x^{2}}{x\left(x+1\right)} agus \frac{2}{x\left(x+1\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{3x+7-3x^{2}}{x\left(x+1\right)}
Cumaisc téarmaí comhchosúla in: 3x+5-3x^{2}+2.
\frac{3x+7-3x^{2}}{x^{2}+x}
Fairsingigh x\left(x+1\right)
\frac{5\left(x+1\right)}{x\left(x+1\right)}-\frac{\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de x agus x+1 ná x\left(x+1\right). Méadaigh \frac{5}{x} faoi \frac{x+1}{x+1}. Méadaigh \frac{3x+2}{x+1} faoi \frac{x}{x}.
\frac{5\left(x+1\right)-\left(3x+2\right)x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Tá an t-ainmneoir céanna ag \frac{5\left(x+1\right)}{x\left(x+1\right)} agus \frac{\left(3x+2\right)x}{x\left(x+1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{5x+5-3x^{2}-2x}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Déan iolrúcháin in 5\left(x+1\right)-\left(3x+2\right)x.
\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x^{2}+x}
Cumaisc téarmaí comhchosúla in: 5x+5-3x^{2}-2x.
\frac{3x+5-3x^{2}}{x\left(x+1\right)}+\frac{2}{x\left(x+1\right)}
Fachtóirigh x^{2}+x.
\frac{3x+5-3x^{2}+2}{x\left(x+1\right)}
Tá an t-ainmneoir céanna ag \frac{3x+5-3x^{2}}{x\left(x+1\right)} agus \frac{2}{x\left(x+1\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{3x+7-3x^{2}}{x\left(x+1\right)}
Cumaisc téarmaí comhchosúla in: 3x+5-3x^{2}+2.
\frac{3x+7-3x^{2}}{x^{2}+x}
Fairsingigh x\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}