Luacháil
\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}
Fairsingigh
\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}
Graf
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}
Fachtóirigh y^{2}-11y+18.
\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-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(y-9\right)\left(y-2\right) agus y-9 ná \left(y-9\right)\left(y-2\right). Méadaigh \frac{y+3}{y-9} faoi \frac{y-2}{y-2}.
\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}
Tá an t-ainmneoir céanna ag \frac{9y+3}{\left(y-9\right)\left(y-2\right)} agus \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}
Déan iolrúcháin in 9y+3+\left(y+3\right)\left(y-2\right).
\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}
Cumaisc téarmaí comhchosúla in: 9y+3+y^{2}-2y+3y-6.
\frac{10y-3+y^{2}}{y^{2}-11y+18}
Fairsingigh \left(y-9\right)\left(y-2\right)
\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}
Fachtóirigh y^{2}-11y+18.
\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-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(y-9\right)\left(y-2\right) agus y-9 ná \left(y-9\right)\left(y-2\right). Méadaigh \frac{y+3}{y-9} faoi \frac{y-2}{y-2}.
\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}
Tá an t-ainmneoir céanna ag \frac{9y+3}{\left(y-9\right)\left(y-2\right)} agus \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.
\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}
Déan iolrúcháin in 9y+3+\left(y+3\right)\left(y-2\right).
\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}
Cumaisc téarmaí comhchosúla in: 9y+3+y^{2}-2y+3y-6.
\frac{10y-3+y^{2}}{y^{2}-11y+18}
Fairsingigh \left(y-9\right)\left(y-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}