Issolvi 4s/(25s^2-9t^2)-s/(5s-3t)

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura 25s^{2}-9t^{2}.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(5s-3t\right)\left(5s+3t\right) u 5s-3t huwa \left(5s-3t\right)\left(5s+3t\right). Immultiplika \frac{s}{5s-3t} b'\frac{5s+3t}{5s+3t}.

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

Billi \frac{4s}{\left(5s-3t\right)\left(5s+3t\right)} u \frac{s\left(5s+3t\right)}{\left(5s-3t\right)\left(5s+3t\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 4s-s\left(5s+3t\right).

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

Espandi \left(5s-3t\right)\left(5s+3t\right).

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

Fattur

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