(3-x)+(1/x-1)/1-(3-x)*frac{1{(x-1)}} eching

$$\frac { ( 3 - x ) + ( \frac { 1 } { x - 1 } ) } { 1 - ( 3 - x ) \cdot \frac { 1 } { ( x - 1 ) } }$$

Baholash

$$\frac{-x^{2}+4x-2}{2\left(x-2\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3-x ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

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

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

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

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

3x-3-x^{2}+x+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{1-\left(3-x\right)\times \frac{1}{x-1}}$$

\left(3-x\right)\times \frac{1}{x-1} ni yagona kasrga aylantiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{1-\frac{3-x}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1}{x-1}-\frac{3-x}{x-1}}$$

\frac{x-1}{x-1} va \frac{3-x}{x-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1-\left(3-x\right)}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1-3+x}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{2x-4}{x-1}}$$

\frac{4x-2-x^{2}}{x-1} ni \frac{2x-4}{x-1} ga bo'lish \frac{4x-2-x^{2}}{x-1} ga k'paytirish \frac{2x-4}{x-1} ga qaytarish.

$$\frac{\left(4x-2-x^{2}\right)\left(x-1\right)}{\left(x-1\right)\left(2x-4\right)}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{-x^{2}+4x-2}{2x-4}$$

Kengaytirish

$$-\frac{x^{2}-4x+2}{2\left(x-2\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3-x ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

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

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

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

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

3x-3-x^{2}+x+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{1-\left(3-x\right)\times \frac{1}{x-1}}$$

\left(3-x\right)\times \frac{1}{x-1} ni yagona kasrga aylantiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{1-\frac{3-x}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1}{x-1}-\frac{3-x}{x-1}}$$

\frac{x-1}{x-1} va \frac{3-x}{x-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1-\left(3-x\right)}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{x-1-3+x}{x-1}}$$

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

$$\frac{\frac{4x-2-x^{2}}{x-1}}{\frac{2x-4}{x-1}}$$

\frac{4x-2-x^{2}}{x-1} ni \frac{2x-4}{x-1} ga bo'lish \frac{4x-2-x^{2}}{x-1} ga k'paytirish \frac{2x-4}{x-1} ga qaytarish.

$$\frac{\left(4x-2-x^{2}\right)\left(x-1\right)}{\left(x-1\right)\left(2x-4\right)}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{-x^{2}+4x-2}{2x-4}$$