Luacháil
\frac{2\left(4-3x\right)}{x^{2}-4}
Fairsingigh
-\frac{2\left(3x-4\right)}{x^{2}-4}
Graf
Tráth na gCeist
Polynomial
5 fadhbanna cosúil le:
\frac { x ^ { 2 } + 8 } { ( x + 2 ) ( x - 2 ) } + \frac { x } { x + 2 } - \frac { 2 x } { x - 2 } =
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)}+\frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
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+2\right)\left(x-2\right) agus x+2 ná \left(x-2\right)\left(x+2\right). Méadaigh \frac{x}{x+2} faoi \frac{x-2}{x-2}.
\frac{x^{2}+8+x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Tá an t-ainmneoir céanna ag \frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)} agus \frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{x^{2}+8+x^{2}-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Déan iolrúcháin in x^{2}+8+x\left(x-2\right).
\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Cumaisc téarmaí comhchosúla in: x^{2}+8+x^{2}-2x.
\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\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-2\right)\left(x+2\right) agus x-2 ná \left(x-2\right)\left(x+2\right). Méadaigh \frac{2x}{x-2} faoi \frac{x+2}{x+2}.
\frac{2x^{2}+8-2x-2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}
Tá an t-ainmneoir céanna ag \frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)} agus \frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{2x^{2}+8-2x-2x^{2}-4x}{\left(x-2\right)\left(x+2\right)}
Déan iolrúcháin in 2x^{2}+8-2x-2x\left(x+2\right).
\frac{8-6x}{\left(x-2\right)\left(x+2\right)}
Cumaisc téarmaí comhchosúla in: 2x^{2}+8-2x-2x^{2}-4x.
\frac{8-6x}{x^{2}-4}
Fairsingigh \left(x-2\right)\left(x+2\right)
\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)}+\frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
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+2\right)\left(x-2\right) agus x+2 ná \left(x-2\right)\left(x+2\right). Méadaigh \frac{x}{x+2} faoi \frac{x-2}{x-2}.
\frac{x^{2}+8+x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Tá an t-ainmneoir céanna ag \frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)} agus \frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{x^{2}+8+x^{2}-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Déan iolrúcháin in x^{2}+8+x\left(x-2\right).
\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}
Cumaisc téarmaí comhchosúla in: x^{2}+8+x^{2}-2x.
\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\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-2\right)\left(x+2\right) agus x-2 ná \left(x-2\right)\left(x+2\right). Méadaigh \frac{2x}{x-2} faoi \frac{x+2}{x+2}.
\frac{2x^{2}+8-2x-2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}
Tá an t-ainmneoir céanna ag \frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)} agus \frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{2x^{2}+8-2x-2x^{2}-4x}{\left(x-2\right)\left(x+2\right)}
Déan iolrúcháin in 2x^{2}+8-2x-2x\left(x+2\right).
\frac{8-6x}{\left(x-2\right)\left(x+2\right)}
Cumaisc téarmaí comhchosúla in: 2x^{2}+8-2x-2x^{2}-4x.
\frac{8-6x}{x^{2}-4}
Fairsingigh \left(x-2\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}