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