Luacháil
\frac{\left(40-x\right)\left(x+60\right)}{2x\left(x+20\right)}
Fairsingigh
-\frac{x^{2}+20x-2400}{2x\left(x+20\right)}
Graf
Tráth na gCeist
Polynomial
5 fadhbanna cosúil le:
\frac { 80 } { x } - ( \frac { 180 x + 800 + x ^ { 2 } } { 2 x ^ { 2 } + 40 x } ) =
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{80}{x}-\frac{180x+800+x^{2}}{2x\left(x+20\right)}
Fachtóirigh 2x^{2}+40x.
\frac{80\times 2\left(x+20\right)}{2x\left(x+20\right)}-\frac{180x+800+x^{2}}{2x\left(x+20\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 agus 2x\left(x+20\right) ná 2x\left(x+20\right). Méadaigh \frac{80}{x} faoi \frac{2\left(x+20\right)}{2\left(x+20\right)}.
\frac{80\times 2\left(x+20\right)-\left(180x+800+x^{2}\right)}{2x\left(x+20\right)}
Tá an t-ainmneoir céanna ag \frac{80\times 2\left(x+20\right)}{2x\left(x+20\right)} agus \frac{180x+800+x^{2}}{2x\left(x+20\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{160x+3200-180x-800-x^{2}}{2x\left(x+20\right)}
Déan iolrúcháin in 80\times 2\left(x+20\right)-\left(180x+800+x^{2}\right).
\frac{-20x+2400-x^{2}}{2x\left(x+20\right)}
Cumaisc téarmaí comhchosúla in: 160x+3200-180x-800-x^{2}.
\frac{-20x+2400-x^{2}}{2x^{2}+40x}
Fairsingigh 2x\left(x+20\right)
\frac{80}{x}-\frac{180x+800+x^{2}}{2x\left(x+20\right)}
Fachtóirigh 2x^{2}+40x.
\frac{80\times 2\left(x+20\right)}{2x\left(x+20\right)}-\frac{180x+800+x^{2}}{2x\left(x+20\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 agus 2x\left(x+20\right) ná 2x\left(x+20\right). Méadaigh \frac{80}{x} faoi \frac{2\left(x+20\right)}{2\left(x+20\right)}.
\frac{80\times 2\left(x+20\right)-\left(180x+800+x^{2}\right)}{2x\left(x+20\right)}
Tá an t-ainmneoir céanna ag \frac{80\times 2\left(x+20\right)}{2x\left(x+20\right)} agus \frac{180x+800+x^{2}}{2x\left(x+20\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{160x+3200-180x-800-x^{2}}{2x\left(x+20\right)}
Déan iolrúcháin in 80\times 2\left(x+20\right)-\left(180x+800+x^{2}\right).
\frac{-20x+2400-x^{2}}{2x\left(x+20\right)}
Cumaisc téarmaí comhchosúla in: 160x+3200-180x-800-x^{2}.
\frac{-20x+2400-x^{2}}{2x^{2}+40x}
Fairsingigh 2x\left(x+20\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}