2left(x-1right)^2+4(x-1)+2 eching

$$2 { \left(x-1 \right) }^{ 2 } +4(x-1)+2$$

Baholash

$$2x^{2}$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$2\left(x^{2}-2x+1\right)+4\left(x-1\right)+2$$

2 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{2}-4x+2+4\left(x-1\right)+2$$

4 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

0 ni olish uchun -4x va 4x ni birlashtirish.

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

-2 olish uchun 2 dan 4 ni ayirish.

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

0 olish uchun -2 va 2'ni qo'shing.

$$2x^{2}$$

Kengaytirish

$$2x^{2}$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$2\left(x^{2}-2x+1\right)+4\left(x-1\right)+2$$

2 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{2}-4x+2+4\left(x-1\right)+2$$

4 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

0 ni olish uchun -4x va 4x ni birlashtirish.

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

-2 olish uchun 2 dan 4 ni ayirish.

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

0 olish uchun -2 va 2'ni qo'shing.

$$2x^{2}$$