3left(x-2right)^2-6left(x-1right)*(x+1) eching

$$3 { \left(x-2 \right) }^{ 2 } -6 \left( x-1 \right) \times (x+1)$$

Baholash

$$18-12x-3x^{2}$$

Yechim qadamlari

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

$$3\left(x^{2}-4x+4\right)-6\left(x-1\right)\left(x+1\right)$$

3 ga x^{2}-4x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-12x+12-6\left(x-1\right)\left(x+1\right)$$

-6 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-12x+12+\left(-6x+6\right)\left(x+1\right)$$

-6x+6 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{2}-12x+12-6x^{2}+6$$

-3x^{2} ni olish uchun 3x^{2} va -6x^{2} ni birlashtirish.

$$-3x^{2}-12x+12+6$$

18 olish uchun 12 va 6'ni qo'shing.

$$-3x^{2}-12x+18$$

Kengaytirish

$$18-12x-3x^{2}$$

Yechim qadamlari

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

$$3\left(x^{2}-4x+4\right)-6\left(x-1\right)\left(x+1\right)$$

3 ga x^{2}-4x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-12x+12-6\left(x-1\right)\left(x+1\right)$$

-6 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-12x+12+\left(-6x+6\right)\left(x+1\right)$$

-6x+6 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$3x^{2}-12x+12-6x^{2}+6$$

-3x^{2} ni olish uchun 3x^{2} va -6x^{2} ni birlashtirish.

$$-3x^{2}-12x+12+6$$

18 olish uchun 12 va 6'ni qo'shing.

$$-3x^{2}-12x+18$$