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

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

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. r\left(r+3\right) va r\left(r+2\right) ning eng kichik umumiy karralisi r\left(r+2\right)\left(r+3\right). \frac{r+2}{r\left(r+3\right)} ni \frac{r+2}{r+2} marotabaga ko'paytirish. \frac{r-1}{r\left(r+2\right)} ni \frac{r+3}{r+3} marotabaga ko'paytirish.

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

\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} va \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right) ichidagi ko‘paytirishlarni bajaring.

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

r^{2}+2r+2r+4-r^{2}-3r+r+3 kabi iboralarga o‘xshab birlashtiring.

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

r\left(r+2\right)\left(r+3\right) ni kengaytirish.

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

Kengaytirish

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. r\left(r+3\right) va r\left(r+2\right) ning eng kichik umumiy karralisi r\left(r+2\right)\left(r+3\right). \frac{r+2}{r\left(r+3\right)} ni \frac{r+2}{r+2} marotabaga ko'paytirish. \frac{r-1}{r\left(r+2\right)} ni \frac{r+3}{r+3} marotabaga ko'paytirish.

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

\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)} va \frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right) ichidagi ko‘paytirishlarni bajaring.

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

r^{2}+2r+2r+4-r^{2}-3r+r+3 kabi iboralarga o‘xshab birlashtiring.

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

r\left(r+2\right)\left(r+3\right) ni kengaytirish.

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