(1+3/x-1)divx+2/x^2-1 eching

$$(1+ \frac{ 3 }{ x-1 } ) \div \frac{ x+2 }{ { x }^{ 2 } -1 }$$

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.

$$\frac{\frac{x-1}{x-1}+\frac{3}{x-1}}{\frac{x+2}{x^{2}-1}}$$

\frac{x-1}{x-1} va \frac{3}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-1+3}{x-1}}{\frac{x+2}{x^{2}-1}}$$

x-1+3 kabi iboralarga o‘xshab birlashtiring.

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

\frac{x+2}{x-1} ni \frac{x+2}{x^{2}-1} ga bo'lish \frac{x+2}{x-1} ga k'paytirish \frac{x+2}{x^{2}-1} ga qaytarish.

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

Surat va maxrajdagi ikkala x+2 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.

$$\frac{\frac{x-1}{x-1}+\frac{3}{x-1}}{\frac{x+2}{x^{2}-1}}$$

\frac{x-1}{x-1} va \frac{3}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-1+3}{x-1}}{\frac{x+2}{x^{2}-1}}$$

x-1+3 kabi iboralarga o‘xshab birlashtiring.

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

\frac{x+2}{x-1} ni \frac{x+2}{x^{2}-1} ga bo'lish \frac{x+2}{x-1} ga k'paytirish \frac{x+2}{x^{2}-1} ga qaytarish.

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

Surat va maxrajdagi ikkala x+2 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.

$$x+1$$