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

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

Baholash

$$y\left(y-2x\right)$$

Yechim qadamlari

\left(x-y\right)^{2} hosil qilish uchun x-y va x-y ni ko'paytirish.

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

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

$$x^{2}-4xy+4y^{2}-\left(x-y\right)^{2}-2y^{2}$$

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

$$x^{2}-4xy+4y^{2}-\left(x^{2}-2xy+y^{2}\right)-2y^{2}$$

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

$$x^{2}-4xy+4y^{2}-x^{2}+2xy-y^{2}-2y^{2}$$

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

$$-4xy+4y^{2}+2xy-y^{2}-2y^{2}$$

-2xy ni olish uchun -4xy va 2xy ni birlashtirish.

$$-2xy+4y^{2}-y^{2}-2y^{2}$$

3y^{2} ni olish uchun 4y^{2} va -y^{2} ni birlashtirish.

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

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

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

Kengaytirish

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

Yechim qadamlari

\left(x-y\right)^{2} hosil qilish uchun x-y va x-y ni ko'paytirish.

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

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

$$x^{2}-4xy+4y^{2}-\left(x-y\right)^{2}-2y^{2}$$

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

$$x^{2}-4xy+4y^{2}-\left(x^{2}-2xy+y^{2}\right)-2y^{2}$$

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

$$x^{2}-4xy+4y^{2}-x^{2}+2xy-y^{2}-2y^{2}$$

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

$$-4xy+4y^{2}+2xy-y^{2}-2y^{2}$$

-2xy ni olish uchun -4xy va 2xy ni birlashtirish.

$$-2xy+4y^{2}-y^{2}-2y^{2}$$

3y^{2} ni olish uchun 4y^{2} va -y^{2} ni birlashtirish.

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

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

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