Réitigh 4(1/x+9-1/x)+4(1/x+9-1/x)+4x(frac{-1}{(x+9)^2}+frac{1}{x^2})

$$4 ( \frac { 1 } { x + 9 } - \frac { 1 } { x } ) + 4 ( \frac { 1 } { x + 9 } - \frac { 1 } { x } ) + 4 x ( \frac { - 1 } { ( x + 9 ) ^ { 2 } } + \frac { 1 } { x ^ { 2 } } )$$

Luacháil

$$-\frac{324}{x\left(x+9\right)^{2}}$$

Céimeanna gearra réitigh

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+9 agus x ná x\left(x+9\right). Méadaigh \frac{1}{x+9} faoi \frac{x}{x}. Méadaigh \frac{1}{x} faoi \frac{x+9}{x+9}.

$$4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{x}{x\left(x+9\right)} agus \frac{x+9}{x\left(x+9\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Déan iolrúcháin in x-\left(x+9\right).

$$4\times \frac{x-x-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Cumaisc téarmaí comhchosúla in: x-x-9.

$$4\times \frac{-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Scríobh 4\times \frac{-9}{x\left(x+9\right)} mar chodán aonair.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

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+9 agus x ná x\left(x+9\right). Méadaigh \frac{1}{x+9} faoi \frac{x}{x}. Méadaigh \frac{1}{x} faoi \frac{x+9}{x+9}.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{x}{x\left(x+9\right)} agus \frac{x+9}{x\left(x+9\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Déan iolrúcháin in x-\left(x+9\right).

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-x-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Cumaisc téarmaí comhchosúla in: x-x-9.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Scríobh 4\times \frac{-9}{x\left(x+9\right)} mar chodán aonair.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Comhcheangail \frac{4\left(-9\right)}{x\left(x+9\right)} agus \frac{4\left(-9\right)}{x\left(x+9\right)} chun 2\times \frac{4\left(-9\right)}{x\left(x+9\right)} a fháil.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x+9\right)^{2} agus x^{2} ná x^{2}\left(x+9\right)^{2}. Méadaigh \frac{-1}{\left(x+9\right)^{2}} faoi \frac{x^{2}}{x^{2}}. Méadaigh \frac{1}{x^{2}} faoi \frac{\left(x+9\right)^{2}}{\left(x+9\right)^{2}}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-x^{2}}{x^{2}\left(x+9\right)^{2}}+\frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{-x^{2}}{x^{2}\left(x+9\right)^{2}} agus \frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}$$

Déan iolrúcháin in -x^{2}+\left(x+9\right)^{2}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+x^{2}+18x+81}{x^{2}\left(x+9\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -x^{2}+x^{2}+18x+81.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}}$$

Scríobh 4\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}} mar chodán aonair.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Méadaigh 4 agus -9 chun -36 a fháil.

$$2\times \frac{-36}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Scríobh 2\times \frac{-36}{x\left(x+9\right)} mar chodán aonair.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Úsáid an t-airí dáileach chun 4 a mhéadú faoi 18x+81.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x^{2}\left(x+9\right)^{2}}x$$

Scríobh \frac{72x+324}{x^{2}\left(x+9\right)^{2}}x mar chodán aonair.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{\left(72x+324\right)x}{x^{2}\left(x+9\right)^{2}}$$

Cealaigh x mar uimhreoir agus ainmneoir.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

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\left(x+9\right) agus x\left(x+9\right)^{2} ná x\left(x+9\right)^{2}. Méadaigh \frac{2\left(-36\right)}{x\left(x+9\right)} faoi \frac{x+9}{x+9}.

$$\frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Tá an t-ainmneoir céanna ag \frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}} agus \frac{72x+324}{x\left(x+9\right)^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{2\left(-36\right)\left(x+9\right)+72x+324}{x\left(x+9\right)^{2}}$$

Déan iolrúcháin in 2\left(-36\right)\left(x+9\right)+72x+324.

$$\frac{-72x-648+72x+324}{x\left(x+9\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -72x-648+72x+324.

$$\frac{-324}{x\left(x+9\right)^{2}}$$

Fairsingigh x\left(x+9\right)^{2}

$$\frac{-324}{x^{3}+18x^{2}+81x}$$

Fairsingigh

$$-\frac{324}{x\left(x+9\right)^{2}}$$

Céimeanna gearra réitigh

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+9 agus x ná x\left(x+9\right). Méadaigh \frac{1}{x+9} faoi \frac{x}{x}. Méadaigh \frac{1}{x} faoi \frac{x+9}{x+9}.

$$4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{x}{x\left(x+9\right)} agus \frac{x+9}{x\left(x+9\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Déan iolrúcháin in x-\left(x+9\right).

$$4\times \frac{x-x-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Cumaisc téarmaí comhchosúla in: x-x-9.

$$4\times \frac{-9}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Scríobh 4\times \frac{-9}{x\left(x+9\right)} mar chodán aonair.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{1}{x+9}-\frac{1}{x}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

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+9 agus x ná x\left(x+9\right). Méadaigh \frac{1}{x+9} faoi \frac{x}{x}. Méadaigh \frac{1}{x} faoi \frac{x+9}{x+9}.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\left(\frac{x}{x\left(x+9\right)}-\frac{x+9}{x\left(x+9\right)}\right)+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{x}{x\left(x+9\right)} agus \frac{x+9}{x\left(x+9\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-\left(x+9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Déan iolrúcháin in x-\left(x+9\right).

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{x-x-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Cumaisc téarmaí comhchosúla in: x-x-9.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+4\times \frac{-9}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Scríobh 4\times \frac{-9}{x\left(x+9\right)} mar chodán aonair.

$$\frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Comhcheangail \frac{4\left(-9\right)}{x\left(x+9\right)} agus \frac{4\left(-9\right)}{x\left(x+9\right)} chun 2\times \frac{4\left(-9\right)}{x\left(x+9\right)} a fháil.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-1}{\left(x+9\right)^{2}}+\frac{1}{x^{2}}\right)$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Is é an t-iolrach is lú coitianta de \left(x+9\right)^{2} agus x^{2} ná x^{2}\left(x+9\right)^{2}. Méadaigh \frac{-1}{\left(x+9\right)^{2}} faoi \frac{x^{2}}{x^{2}}. Méadaigh \frac{1}{x^{2}} faoi \frac{\left(x+9\right)^{2}}{\left(x+9\right)^{2}}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\left(\frac{-x^{2}}{x^{2}\left(x+9\right)^{2}}+\frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}\right)$$

Tá an t-ainmneoir céanna ag \frac{-x^{2}}{x^{2}\left(x+9\right)^{2}} agus \frac{\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+\left(x+9\right)^{2}}{x^{2}\left(x+9\right)^{2}}$$

Déan iolrúcháin in -x^{2}+\left(x+9\right)^{2}.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{-x^{2}+x^{2}+18x+81}{x^{2}\left(x+9\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -x^{2}+x^{2}+18x+81.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+4x\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}}$$

Scríobh 4\times \frac{18x+81}{x^{2}\left(x+9\right)^{2}} mar chodán aonair.

$$2\times \frac{4\left(-9\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Méadaigh 4 agus -9 chun -36 a fháil.

$$2\times \frac{-36}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Scríobh 2\times \frac{-36}{x\left(x+9\right)} mar chodán aonair.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{4\left(18x+81\right)}{x^{2}\left(x+9\right)^{2}}x$$

Úsáid an t-airí dáileach chun 4 a mhéadú faoi 18x+81.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x^{2}\left(x+9\right)^{2}}x$$

Scríobh \frac{72x+324}{x^{2}\left(x+9\right)^{2}}x mar chodán aonair.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{\left(72x+324\right)x}{x^{2}\left(x+9\right)^{2}}$$

Cealaigh x mar uimhreoir agus ainmneoir.

$$\frac{2\left(-36\right)}{x\left(x+9\right)}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

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\left(x+9\right) agus x\left(x+9\right)^{2} ná x\left(x+9\right)^{2}. Méadaigh \frac{2\left(-36\right)}{x\left(x+9\right)} faoi \frac{x+9}{x+9}.

$$\frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}}+\frac{72x+324}{x\left(x+9\right)^{2}}$$

Tá an t-ainmneoir céanna ag \frac{2\left(-36\right)\left(x+9\right)}{x\left(x+9\right)^{2}} agus \frac{72x+324}{x\left(x+9\right)^{2}} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{2\left(-36\right)\left(x+9\right)+72x+324}{x\left(x+9\right)^{2}}$$

Déan iolrúcháin in 2\left(-36\right)\left(x+9\right)+72x+324.

$$\frac{-72x-648+72x+324}{x\left(x+9\right)^{2}}$$

Cumaisc téarmaí comhchosúla in: -72x-648+72x+324.

$$\frac{-324}{x\left(x+9\right)^{2}}$$

Fairsingigh x\left(x+9\right)^{2}

$$\frac{-324}{x^{3}+18x^{2}+81x}$$