1/1-r-r/1-r^2 eching

$$\frac { 1 } { 1 - r } - \frac { r } { 1 - r ^ { 2 } }$$

Baholash

$$\frac{1}{1-r^{2}}$$

Qisqa yechim qadamlari

Faktor: 1-r^{2}.

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

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

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

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

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

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

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

-r-1+r kabi iboralarga o‘xshab birlashtiring.

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

\left(r-1\right)\left(r+1\right) ni kengaytirish.

$$\frac{-1}{r^{2}-1}$$

r ga nisbatan hosilani topish

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