Issolvi r+2/r(r+3)-r-1/r(r+2)

$$\frac { r + 2 } { r ( r + 3 ) } - \frac { r - 1 } { r ( r + 2 ) }$$

Evalwa

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' r\left(r+3\right) u r\left(r+2\right) huwa r\left(r+2\right)\left(r+3\right). Immultiplika \frac{r+2}{r\left(r+3\right)} b'\frac{r+2}{r+2}. Immultiplika \frac{r-1}{r\left(r+2\right)} b'\frac{r+3}{r+3}.

$$\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

Billi \frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} u \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right).

$$\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}$$

Ikkombina termini simili f'r^{2}+2r+2r+4-r^{2}-3r+r+3.

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

Espandi r\left(r+2\right)\left(r+3\right).

$$\frac{2r+7}{r^{3}+5r^{2}+6r}$$

Espandi

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' r\left(r+3\right) u r\left(r+2\right) huwa r\left(r+2\right)\left(r+3\right). Immultiplika \frac{r+2}{r\left(r+3\right)} b'\frac{r+2}{r+2}. Immultiplika \frac{r-1}{r\left(r+2\right)} b'\frac{r+3}{r+3}.

$$\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

Billi \frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} u \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

Agħmel il-multiplikazzjonijiet fi \left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right).

$$\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}$$

Ikkombina termini simili f'r^{2}+2r+2r+4-r^{2}-3r+r+3.

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

Espandi r\left(r+2\right)\left(r+3\right).

$$\frac{2r+7}{r^{3}+5r^{2}+6r}$$