xy-2xy/x^2+xy*x^2+2xy+y^2/x^2-2xy eching

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

Baholash

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

Qisqa yechim qadamlari

-xy ni olish uchun xy va -2xy ni birlashtirish.

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

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

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

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+y ni qisqartiring.

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

-xy ni olish uchun xy va -2xy ni birlashtirish.

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

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

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

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

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+y ni qisqartiring.

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

Ifodani kengaytiring.

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