x^2/y-1*x^2-2x+1/x^2-xdivx^3-x/(y-1)-x/1-y eching

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

Baholash

$$-\frac{1}{y-1}$$

Qisqa yechim qadamlari

\frac{x^{2}-2x+1}{x^{2}-x} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{\frac{x^{2}}{y-1}\times \frac{x-1}{x}}{\frac{x^{3}-x}{y-1-\frac{x}{1}-y}}$$

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

0 ni olish uchun y va -y ni birlashtirish.

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

\frac{x^{3}-x}{-1-x} ichida hali faktorlanmagan ifodalarni faktorlang.

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

1+x mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala -x-1 ni qisqartiring.

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

Ifodani kengaytiring.

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

\frac{\frac{x\left(x-1\right)}{y-1}}{-x^{2}+x} ni yagona kasrga aylantiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

-1+x mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala x\left(-x+1\right) ni qisqartiring.

$$\frac{-1}{y-1}$$

Kengaytirish

$$-\frac{1}{y-1}$$

Qisqa yechim qadamlari

\frac{x^{2}-2x+1}{x^{2}-x} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{\frac{x^{2}}{y-1}\times \frac{x-1}{x}}{\frac{x^{3}-x}{y-1-\frac{x}{1}-y}}$$

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

0 ni olish uchun y va -y ni birlashtirish.

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

\frac{x^{3}-x}{-1-x} ichida hali faktorlanmagan ifodalarni faktorlang.

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

1+x mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala -x-1 ni qisqartiring.

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

Ifodani kengaytiring.

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

\frac{\frac{x\left(x-1\right)}{y-1}}{-x^{2}+x} ni yagona kasrga aylantiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

-1+x mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala x\left(-x+1\right) ni qisqartiring.

$$\frac{-1}{y-1}$$