2(x-y)(x+y)-(x-y)^2 eching

$$2 ( x - y ) ( x + y ) - ( x - y ) ^ { 2 }$$

Baholash

$$\left(x-y\right)\left(x+3y\right)$$

Yechim qadamlari

2 ga x-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

2x-2y ga x+y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-y\right)^{2} kengaytirilishi uchun ishlating.

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

x^{2}-2xy+y^{2} teskarisini topish uchun har birining teskarisini toping.

$$2x^{2}-2y^{2}-x^{2}+2xy-y^{2}$$

x^{2} ni olish uchun 2x^{2} va -x^{2} ni birlashtirish.

$$x^{2}-2y^{2}+2xy-y^{2}$$

-3y^{2} ni olish uchun -2y^{2} va -y^{2} ni birlashtirish.

$$x^{2}-3y^{2}+2xy$$

Kengaytirish

$$x^{2}+2xy-3y^{2}$$

Yechim qadamlari

2 ga x-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

2x-2y ga x+y ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-y\right)^{2} kengaytirilishi uchun ishlating.

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

x^{2}-2xy+y^{2} teskarisini topish uchun har birining teskarisini toping.

$$2x^{2}-2y^{2}-x^{2}+2xy-y^{2}$$

x^{2} ni olish uchun 2x^{2} va -x^{2} ni birlashtirish.

$$x^{2}-2y^{2}+2xy-y^{2}$$

-3y^{2} ni olish uchun -2y^{2} va -y^{2} ni birlashtirish.

$$x^{2}-3y^{2}+2xy$$