(x+y/x-y-1)/(1-frac{x+y{x-y})}= eching

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

Baholash

$$-1$$

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

-1 ni olish uchun 1 ni -1 ga bo‘ling.

$$-1$$

Omil

$$-1$$