Luacháil
\frac{4x}{7}+\frac{25}{14}
Fairsingigh
\frac{4x}{7}+\frac{25}{14}
Graf
Tráth na gCeist
Polynomial
\frac{ \frac{ x+4 }{ x+3 } - \frac{ x-3 }{ x+4 } }{ \frac{ 14 }{ { x }^{ 2 } +7x+12 } }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
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+4 ná \left(x+3\right)\left(x+4\right). Méadaigh \frac{x+4}{x+3} faoi \frac{x+4}{x+4}. Méadaigh \frac{x-3}{x+4} faoi \frac{x+3}{x+3}.
\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Tá an t-ainmneoir céanna ag \frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} agus \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Déan iolrúcháin in \left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right).
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Cumaisc téarmaí comhchosúla in: x^{2}+4x+4x+16-x^{2}-3x+3x+9.
\frac{\left(8x+25\right)\left(x^{2}+7x+12\right)}{\left(x+3\right)\left(x+4\right)\times 14}
Roinn \frac{8x+25}{\left(x+3\right)\left(x+4\right)} faoi \frac{14}{x^{2}+7x+12} trí \frac{8x+25}{\left(x+3\right)\left(x+4\right)} a mhéadú faoi dheilín \frac{14}{x^{2}+7x+12}.
\frac{\left(x+3\right)\left(x+4\right)\left(8x+25\right)}{14\left(x+3\right)\left(x+4\right)}
Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.
\frac{8x+25}{14}
Cealaigh \left(x+3\right)\left(x+4\right) mar uimhreoir agus ainmneoir.
\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
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+4 ná \left(x+3\right)\left(x+4\right). Méadaigh \frac{x+4}{x+3} faoi \frac{x+4}{x+4}. Méadaigh \frac{x-3}{x+4} faoi \frac{x+3}{x+3}.
\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Tá an t-ainmneoir céanna ag \frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} agus \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.
\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Déan iolrúcháin in \left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right).
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}
Cumaisc téarmaí comhchosúla in: x^{2}+4x+4x+16-x^{2}-3x+3x+9.
\frac{\left(8x+25\right)\left(x^{2}+7x+12\right)}{\left(x+3\right)\left(x+4\right)\times 14}
Roinn \frac{8x+25}{\left(x+3\right)\left(x+4\right)} faoi \frac{14}{x^{2}+7x+12} trí \frac{8x+25}{\left(x+3\right)\left(x+4\right)} a mhéadú faoi dheilín \frac{14}{x^{2}+7x+12}.
\frac{\left(x+3\right)\left(x+4\right)\left(8x+25\right)}{14\left(x+3\right)\left(x+4\right)}
Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.
\frac{8x+25}{14}
Cealaigh \left(x+3\right)\left(x+4\right) mar uimhreoir agus ainmneoir.
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}