frac{x^{2}+2xy+y^{2}}{x^{2}-y^{2}}*2x^2-xy-y^2/x^2-xy-2y^2 eching

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

Baholash

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

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x+y ni qisqartiring.

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

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

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

Hali faktorlanmagan ifodalarni faktorlang.

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

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

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

Kengaytirish

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

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x+y ni qisqartiring.

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

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

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

Hali faktorlanmagan ifodalarni faktorlang.

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

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

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