Luacháil
\frac{10+23x-6x^{2}}{\left(x-3\right)\left(x+2\right)}
Difreálaigh w.r.t. x
\frac{-17x^{2}+52x-128}{\left(\left(x-3\right)\left(x+2\right)\right)^{2}}
Graf
Tráth na gCeist
Polynomial
\frac { 5 } { x - 3 } - \frac { 6 x } { x + 2 }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{5\left(x+2\right)}{\left(x-3\right)\left(x+2\right)}-\frac{6x\left(x-3\right)}{\left(x-3\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 x-3 agus x+2 ná \left(x-3\right)\left(x+2\right). Méadaigh \frac{5}{x-3} faoi \frac{x+2}{x+2}. Méadaigh \frac{6x}{x+2} faoi \frac{x-3}{x-3}.
\frac{5\left(x+2\right)-6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)}
Tá an t-ainmneoir céanna ag \frac{5\left(x+2\right)}{\left(x-3\right)\left(x+2\right)} agus \frac{6x\left(x-3\right)}{\left(x-3\right)\left(x+2\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{5x+10-6x^{2}+18x}{\left(x-3\right)\left(x+2\right)}
Déan iolrúcháin in 5\left(x+2\right)-6x\left(x-3\right).
\frac{23x+10-6x^{2}}{\left(x-3\right)\left(x+2\right)}
Cumaisc téarmaí comhchosúla in: 5x+10-6x^{2}+18x.
\frac{23x+10-6x^{2}}{x^{2}-x-6}
Fairsingigh \left(x-3\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}