Réitigh 4s/(25s^2-9t^2)-s/(5s-3t)

$$\frac { 4 s } { ( 25 s ^ { 2 } - 9 t ^ { 2 } ) } - \frac { s } { ( 5 s - 3 t ) }$$

Luacháil

$$\frac{s\left(4-3t-5s\right)}{25s^{2}-9t^{2}}$$

Céimeanna gearra réitigh

Fachtóirigh 25s^{2}-9t^{2}.

$$\frac{4s}{\left(5s-3t\right)\left(5s+3t\right)}-\frac{s}{5s-3t}$$

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(5s-3t\right)\left(5s+3t\right) agus 5s-3t ná \left(5s-3t\right)\left(5s+3t\right). Méadaigh \frac{s}{5s-3t} faoi \frac{5s+3t}{5s+3t}.

$$\frac{4s}{\left(5s-3t\right)\left(5s+3t\right)}-\frac{s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)}$$

Tá an t-ainmneoir céanna ag \frac{4s}{\left(5s-3t\right)\left(5s+3t\right)} agus \frac{s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{4s-s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)}$$

Déan iolrúcháin in 4s-s\left(5s+3t\right).

$$\frac{4s-5s^{2}-3st}{\left(5s-3t\right)\left(5s+3t\right)}$$

Fairsingigh \left(5s-3t\right)\left(5s+3t\right)

$$\frac{4s-5s^{2}-3st}{25s^{2}-9t^{2}}$$

Fachtóirigh

$$\frac{s\left(4-3t-5s\right)}{25s^{2}-9t^{2}}$$