-6(2x+1)(6x+1)+3(4x-3^2 eching

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

Baholash

$$-72x^{2}-36x-33$$

Yechim qadamlari

-6 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(-12x-6\right)\left(6x+1\right)+3\left(4x-3^{2}\right)$$

-12x-6 ifodaning har bir elementini 6x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-72x^{2}-12x-36x-6+3\left(4x-3^{2}\right)$$

-48x ni olish uchun -12x va -36x ni birlashtirish.

$$-72x^{2}-48x-6+3\left(4x-3^{2}\right)$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$-72x^{2}-48x-6+3\left(4x-9\right)$$

3 ga 4x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-72x^{2}-48x-6+12x-27$$

-36x ni olish uchun -48x va 12x ni birlashtirish.

$$-72x^{2}-36x-6-27$$

-33 olish uchun -6 dan 27 ni ayirish.

$$-72x^{2}-36x-33$$

Kengaytirish

$$-72x^{2}-36x-33$$

Yechim qadamlari

-6 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(-12x-6\right)\left(6x+1\right)+3\left(4x-3^{2}\right)$$

-12x-6 ifodaning har bir elementini 6x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-72x^{2}-12x-36x-6+3\left(4x-3^{2}\right)$$

-48x ni olish uchun -12x va -36x ni birlashtirish.

$$-72x^{2}-48x-6+3\left(4x-3^{2}\right)$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$-72x^{2}-48x-6+3\left(4x-9\right)$$

3 ga 4x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-72x^{2}-48x-6+12x-27$$

-36x ni olish uchun -48x va 12x ni birlashtirish.

$$-72x^{2}-36x-6-27$$

-33 olish uchun -6 dan 27 ni ayirish.

$$-72x^{2}-36x-33$$