Luacháil
-\frac{2\left(x-10\right)\left(x+3\right)}{x^{2}-36}
Fairsingigh
-\frac{2\left(x^{2}-7x-30\right)}{x^{2}-36}
Graf
Tráth na gCeist
Polynomial
\frac{ 8 }{ x+6 } + \frac{ 12-x }{ x-6 } -1
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{8\left(x-6\right)}{\left(x-6\right)\left(x+6\right)}+\frac{\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}-1
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+6 agus x-6 ná \left(x-6\right)\left(x+6\right). Méadaigh \frac{8}{x+6} faoi \frac{x-6}{x-6}. Méadaigh \frac{12-x}{x-6} faoi \frac{x+6}{x+6}.
\frac{8\left(x-6\right)+\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}-1
Tá an t-ainmneoir céanna ag \frac{8\left(x-6\right)}{\left(x-6\right)\left(x+6\right)} agus \frac{\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{8x-48+12x+72-x^{2}-6x}{\left(x-6\right)\left(x+6\right)}-1
Déan iolrúcháin in 8\left(x-6\right)+\left(12-x\right)\left(x+6\right).
\frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)}-1
Cumaisc téarmaí comhchosúla in: 8x-48+12x+72-x^{2}-6x.
\frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)}-\frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh 1 faoi \frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}.
\frac{14x+24-x^{2}-\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}
Tá an t-ainmneoir céanna ag \frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)} agus \frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{14x+24-x^{2}-x^{2}-6x+6x+36}{\left(x-6\right)\left(x+6\right)}
Déan iolrúcháin in 14x+24-x^{2}-\left(x-6\right)\left(x+6\right).
\frac{14x+60-2x^{2}}{\left(x-6\right)\left(x+6\right)}
Cumaisc téarmaí comhchosúla in: 14x+24-x^{2}-x^{2}-6x+6x+36.
\frac{14x+60-2x^{2}}{x^{2}-36}
Fairsingigh \left(x-6\right)\left(x+6\right)
\frac{8\left(x-6\right)}{\left(x-6\right)\left(x+6\right)}+\frac{\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}-1
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+6 agus x-6 ná \left(x-6\right)\left(x+6\right). Méadaigh \frac{8}{x+6} faoi \frac{x-6}{x-6}. Méadaigh \frac{12-x}{x-6} faoi \frac{x+6}{x+6}.
\frac{8\left(x-6\right)+\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}-1
Tá an t-ainmneoir céanna ag \frac{8\left(x-6\right)}{\left(x-6\right)\left(x+6\right)} agus \frac{\left(12-x\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{8x-48+12x+72-x^{2}-6x}{\left(x-6\right)\left(x+6\right)}-1
Déan iolrúcháin in 8\left(x-6\right)+\left(12-x\right)\left(x+6\right).
\frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)}-1
Cumaisc téarmaí comhchosúla in: 8x-48+12x+72-x^{2}-6x.
\frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)}-\frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}
Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh 1 faoi \frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}.
\frac{14x+24-x^{2}-\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)}
Tá an t-ainmneoir céanna ag \frac{14x+24-x^{2}}{\left(x-6\right)\left(x+6\right)} agus \frac{\left(x-6\right)\left(x+6\right)}{\left(x-6\right)\left(x+6\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{14x+24-x^{2}-x^{2}-6x+6x+36}{\left(x-6\right)\left(x+6\right)}
Déan iolrúcháin in 14x+24-x^{2}-\left(x-6\right)\left(x+6\right).
\frac{14x+60-2x^{2}}{\left(x-6\right)\left(x+6\right)}
Cumaisc téarmaí comhchosúla in: 14x+24-x^{2}-x^{2}-6x+6x+36.
\frac{14x+60-2x^{2}}{x^{2}-36}
Fairsingigh \left(x-6\right)\left(x+6\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}