(1+1/x-1)*x^2-1/x eching

$$( 1 + \frac { 1 } { x - 1 } ) \cdot \frac { x ^ { 2 } - 1 } { x }$$

Baholash

$$x+1$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

$$\left(\frac{x-1}{x-1}+\frac{1}{x-1}\right)\times \frac{x^{2}-1}{x}$$

\frac{x-1}{x-1} va \frac{1}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x-1+1}{x-1}\times \frac{x^{2}-1}{x}$$

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

$$\frac{x}{x-1}\times \frac{x^{2}-1}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{x-1} ni \frac{x^{2}-1}{x} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$x+1$$

Kengaytirish

$$x+1$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

$$\left(\frac{x-1}{x-1}+\frac{1}{x-1}\right)\times \frac{x^{2}-1}{x}$$

\frac{x-1}{x-1} va \frac{1}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x-1+1}{x-1}\times \frac{x^{2}-1}{x}$$

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

$$\frac{x}{x-1}\times \frac{x^{2}-1}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{x-1} ni \frac{x^{2}-1}{x} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$x+1$$