x^2/x-y*(1/x-1/y) eching

$$\frac { x ^ { 2 } } { x - y } \cdot ( \frac { 1 } { x } - \frac { 1 } { y } )$$

Baholash

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

Yechim qadamlari

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

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

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

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

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

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

y-x mislodagi manfiy ishorani chiqarib tashlang.

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

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

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

Kengaytirish

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

Yechim qadamlari

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

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

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

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

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

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

y-x mislodagi manfiy ishorani chiqarib tashlang.

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

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

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