6+((x+5)divx^2+3x-10/x-1 eching

$$6+((x+5) \div \frac{ { x }^{ 2 } +3x-10 }{ x-1 }$$

Baholash

$$\frac{7x-13}{x-2}$$

Qisqa yechim qadamlari

x+5 ni \frac{x^{2}+3x-10}{x-1} ga bo'lish x+5 ga k'paytirish \frac{x^{2}+3x-10}{x-1} ga qaytarish.

$$6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}$$

\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10} ichida hali faktorlanmagan ifodalarni faktorlang.

$$6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}$$

Surat va maxrajdagi ikkala x+5 ni qisqartiring.

$$6+\frac{x-1}{x-2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}$$

\frac{6\left(x-2\right)}{x-2} va \frac{x-1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6\left(x-2\right)+x-1}{x-2}$$

6\left(x-2\right)+x-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x-12+x-1}{x-2}$$

6x-12+x-1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x-13}{x-2}$$

Kengaytirish

$$\frac{7x-13}{x-2}$$

Qisqa yechim qadamlari

x+5 ni \frac{x^{2}+3x-10}{x-1} ga bo'lish x+5 ga k'paytirish \frac{x^{2}+3x-10}{x-1} ga qaytarish.

$$6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}$$

\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10} ichida hali faktorlanmagan ifodalarni faktorlang.

$$6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}$$

Surat va maxrajdagi ikkala x+5 ni qisqartiring.

$$6+\frac{x-1}{x-2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}$$

\frac{6\left(x-2\right)}{x-2} va \frac{x-1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6\left(x-2\right)+x-1}{x-2}$$

6\left(x-2\right)+x-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x-12+x-1}{x-2}$$

6x-12+x-1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x-13}{x-2}$$