3/x-6/1-x-x+5/x^2-x eching

$$\frac { 3 } { x } - \frac { 6 } { 1 - x } - \frac { x + 5 } { x ^ { 2 } - x }$$

Baholash

$$\frac{8}{x}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x va 1-x ning eng kichik umumiy karralisi x\left(-x+1\right). \frac{3}{x} ni \frac{-x+1}{-x+1} marotabaga ko'paytirish. \frac{6}{1-x} ni \frac{x}{x} marotabaga ko'paytirish.

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

\frac{3\left(-x+1\right)}{x\left(-x+1\right)} va \frac{6x}{x\left(-x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

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

-3x+3-6x kabi iboralarga o‘xshab birlashtiring.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Faktor: x^{2}-x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(-x+1\right) va x\left(x-1\right) ning eng kichik umumiy karralisi x\left(x-1\right). \frac{-9x+3}{x\left(-x+1\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.

$$\frac{-\left(-9x+3\right)}{x\left(x-1\right)}-\frac{x+5}{x\left(x-1\right)}$$

\frac{-\left(-9x+3\right)}{x\left(x-1\right)} va \frac{x+5}{x\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\left(-9x+3\right)-\left(x+5\right)}{x\left(x-1\right)}$$

-\left(-9x+3\right)-\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9x-3-x-5}{x\left(x-1\right)}$$

9x-3-x-5 kabi iboralarga o‘xshab birlashtiring.

$$\frac{8x-8}{x\left(x-1\right)}$$

\frac{8x-8}{x\left(x-1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{8\left(x-1\right)}{x\left(x-1\right)}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{8}{x}$$

Kengaytirish

$$\frac{8}{x}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x va 1-x ning eng kichik umumiy karralisi x\left(-x+1\right). \frac{3}{x} ni \frac{-x+1}{-x+1} marotabaga ko'paytirish. \frac{6}{1-x} ni \frac{x}{x} marotabaga ko'paytirish.

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

\frac{3\left(-x+1\right)}{x\left(-x+1\right)} va \frac{6x}{x\left(-x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

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

-3x+3-6x kabi iboralarga o‘xshab birlashtiring.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x^{2}-x}$$

Faktor: x^{2}-x.

$$\frac{-9x+3}{x\left(-x+1\right)}-\frac{x+5}{x\left(x-1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(-x+1\right) va x\left(x-1\right) ning eng kichik umumiy karralisi x\left(x-1\right). \frac{-9x+3}{x\left(-x+1\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.

$$\frac{-\left(-9x+3\right)}{x\left(x-1\right)}-\frac{x+5}{x\left(x-1\right)}$$

\frac{-\left(-9x+3\right)}{x\left(x-1\right)} va \frac{x+5}{x\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\left(-9x+3\right)-\left(x+5\right)}{x\left(x-1\right)}$$

-\left(-9x+3\right)-\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9x-3-x-5}{x\left(x-1\right)}$$

9x-3-x-5 kabi iboralarga o‘xshab birlashtiring.

$$\frac{8x-8}{x\left(x-1\right)}$$

\frac{8x-8}{x\left(x-1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{8\left(x-1\right)}{x\left(x-1\right)}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{8}{x}$$