Luacháil
-\frac{2}{x^{2}}
Fairsingigh
-\frac{2}{x^{2}}
Graf
Tráth na gCeist
Polynomial
( \frac { 1 } { 1 - x } - \frac { 1 } { 1 + x } ) \div ( \frac { x } { x ^ { 2 } - 1 } + x )
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{\frac{x+1}{\left(x+1\right)\left(-x+1\right)}-\frac{-x+1}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+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 1-x agus 1+x ná \left(x+1\right)\left(-x+1\right). Méadaigh \frac{1}{1-x} faoi \frac{x+1}{x+1}. Méadaigh \frac{1}{1+x} faoi \frac{-x+1}{-x+1}.
\frac{\frac{x+1-\left(-x+1\right)}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Tá an t-ainmneoir céanna ag \frac{x+1}{\left(x+1\right)\left(-x+1\right)} agus \frac{-x+1}{\left(x+1\right)\left(-x+1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{\frac{x+1+x-1}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Déan iolrúcháin in x+1-\left(-x+1\right).
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Cumaisc téarmaí comhchosúla in: x+1+x-1.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{\left(x-1\right)\left(x+1\right)}+x}
Fachtóirigh x^{2}-1.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{\left(x-1\right)\left(x+1\right)}+\frac{x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh x faoi \frac{\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x+x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}}
Tá an t-ainmneoir céanna ag \frac{x}{\left(x-1\right)\left(x+1\right)} agus \frac{x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x+x^{3}+x^{2}-x^{2}-x}{\left(x-1\right)\left(x+1\right)}}
Déan iolrúcháin in x+x\left(x-1\right)\left(x+1\right).
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x^{3}}{\left(x-1\right)\left(x+1\right)}}
Cumaisc téarmaí comhchosúla in: x+x^{3}+x^{2}-x^{2}-x.
\frac{2x\left(x-1\right)\left(x+1\right)}{\left(x+1\right)\left(-x+1\right)x^{3}}
Roinn \frac{2x}{\left(x+1\right)\left(-x+1\right)} faoi \frac{x^{3}}{\left(x-1\right)\left(x+1\right)} trí \frac{2x}{\left(x+1\right)\left(-x+1\right)} a mhéadú faoi dheilín \frac{x^{3}}{\left(x-1\right)\left(x+1\right)}.
\frac{-2x\left(x+1\right)\left(-x+1\right)}{\left(x+1\right)\left(-x+1\right)x^{3}}
Bain an comhartha diúltach in: x-1.
\frac{-2}{x^{2}}
Cealaigh x\left(x+1\right)\left(-x+1\right) mar uimhreoir agus ainmneoir.
\frac{\frac{x+1}{\left(x+1\right)\left(-x+1\right)}-\frac{-x+1}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+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 1-x agus 1+x ná \left(x+1\right)\left(-x+1\right). Méadaigh \frac{1}{1-x} faoi \frac{x+1}{x+1}. Méadaigh \frac{1}{1+x} faoi \frac{-x+1}{-x+1}.
\frac{\frac{x+1-\left(-x+1\right)}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Tá an t-ainmneoir céanna ag \frac{x+1}{\left(x+1\right)\left(-x+1\right)} agus \frac{-x+1}{\left(x+1\right)\left(-x+1\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{\frac{x+1+x-1}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Déan iolrúcháin in x+1-\left(-x+1\right).
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{x^{2}-1}+x}
Cumaisc téarmaí comhchosúla in: x+1+x-1.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{\left(x-1\right)\left(x+1\right)}+x}
Fachtóirigh x^{2}-1.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x}{\left(x-1\right)\left(x+1\right)}+\frac{x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh x faoi \frac{\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x+x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}}
Tá an t-ainmneoir céanna ag \frac{x}{\left(x-1\right)\left(x+1\right)} agus \frac{x\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x+x^{3}+x^{2}-x^{2}-x}{\left(x-1\right)\left(x+1\right)}}
Déan iolrúcháin in x+x\left(x-1\right)\left(x+1\right).
\frac{\frac{2x}{\left(x+1\right)\left(-x+1\right)}}{\frac{x^{3}}{\left(x-1\right)\left(x+1\right)}}
Cumaisc téarmaí comhchosúla in: x+x^{3}+x^{2}-x^{2}-x.
\frac{2x\left(x-1\right)\left(x+1\right)}{\left(x+1\right)\left(-x+1\right)x^{3}}
Roinn \frac{2x}{\left(x+1\right)\left(-x+1\right)} faoi \frac{x^{3}}{\left(x-1\right)\left(x+1\right)} trí \frac{2x}{\left(x+1\right)\left(-x+1\right)} a mhéadú faoi dheilín \frac{x^{3}}{\left(x-1\right)\left(x+1\right)}.
\frac{-2x\left(x+1\right)\left(-x+1\right)}{\left(x+1\right)\left(-x+1\right)x^{3}}
Bain an comhartha diúltach in: x-1.
\frac{-2}{x^{2}}
Cealaigh x\left(x+1\right)\left(-x+1\right) mar uimhreoir agus ainmneoir.
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}