(x-y/x^2-2xy+y^2-x/x^2-2xy)divy/x-2y eching

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

Baholash

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

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x-y ni qisqartiring.

$$\frac{\frac{1}{x-y}-\frac{x}{x^{2}-2xy}}{\frac{y}{x-2y}}$$

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{\frac{1}{x-y}-\frac{1}{x-2y}}{\frac{y}{x-2y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-y va x-2y ning eng kichik umumiy karralisi \left(x-2y\right)\left(x-y\right). \frac{1}{x-y} ni \frac{x-2y}{x-2y} marotabaga ko'paytirish. \frac{1}{x-2y} ni \frac{x-y}{x-y} marotabaga ko'paytirish.

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

\frac{x-2y}{\left(x-2y\right)\left(x-y\right)} va \frac{x-y}{\left(x-2y\right)\left(x-y\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x-2y-\left(x-y\right) ichidagi ko‘paytirishlarni bajaring.

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

x-2y-x+y kabi iboralarga o‘xshab birlashtiring.

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

\frac{-y}{\left(x-2y\right)\left(x-y\right)} ni \frac{y}{x-2y} ga bo'lish \frac{-y}{\left(x-2y\right)\left(x-y\right)} ga k'paytirish \frac{y}{x-2y} ga qaytarish.

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

Surat va maxrajdagi ikkala y\left(x-2y\right) ni qisqartiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x-y ni qisqartiring.

$$\frac{\frac{1}{x-y}-\frac{x}{x^{2}-2xy}}{\frac{y}{x-2y}}$$

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{\frac{1}{x-y}-\frac{1}{x-2y}}{\frac{y}{x-2y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-y va x-2y ning eng kichik umumiy karralisi \left(x-2y\right)\left(x-y\right). \frac{1}{x-y} ni \frac{x-2y}{x-2y} marotabaga ko'paytirish. \frac{1}{x-2y} ni \frac{x-y}{x-y} marotabaga ko'paytirish.

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

\frac{x-2y}{\left(x-2y\right)\left(x-y\right)} va \frac{x-y}{\left(x-2y\right)\left(x-y\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x-2y-\left(x-y\right) ichidagi ko‘paytirishlarni bajaring.

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

x-2y-x+y kabi iboralarga o‘xshab birlashtiring.

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

\frac{-y}{\left(x-2y\right)\left(x-y\right)} ni \frac{y}{x-2y} ga bo'lish \frac{-y}{\left(x-2y\right)\left(x-y\right)} ga k'paytirish \frac{y}{x-2y} ga qaytarish.

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

Surat va maxrajdagi ikkala y\left(x-2y\right) ni qisqartiring.

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