4+12left(x-yright)+9left(x-yright)^2 eching

$$4+12 \left( x-y \right) +9 { \left(x-y \right) }^{ 2 }$$

Baholash

$$\left(3x-3y+2\right)^{2}$$

Yechim qadamlari

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

$$4+12x-12y+9\left(x-y\right)^{2}$$

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

$$4+12x-12y+9\left(x^{2}-2xy+y^{2}\right)$$

9 ga x^{2}-2xy+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4+12x-12y+9x^{2}-18xy+9y^{2}$$

Kengaytirish

$$9x^{2}-18xy+12x+9y^{2}-12y+4$$

Yechim qadamlari

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

$$4+12x-12y+9\left(x-y\right)^{2}$$

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

$$4+12x-12y+9\left(x^{2}-2xy+y^{2}\right)$$

9 ga x^{2}-2xy+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4+12x-12y+9x^{2}-18xy+9y^{2}$$