5left(3a+bright)^2+6left(3a+bright)-8 eching

$$5 { \left(3a+b \right) }^{ 2 } +6 \left( 3a+b \right) -8$$

Baholash

$$\left(15a+5b-4\right)\left(3a+b+2\right)$$

Yechim qadamlari

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3a+b\right)^{2} kengaytirilishi uchun ishlating.

$$5\left(9a^{2}+6ab+b^{2}\right)+6\left(3a+b\right)-8$$

5 ga 9a^{2}+6ab+b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$45a^{2}+30ab+5b^{2}+6\left(3a+b\right)-8$$

6 ga 3a+b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$45a^{2}+30ab+5b^{2}+18a+6b-8$$

Kengaytirish

$$45a^{2}+30ab+18a+5b^{2}+6b-8$$

Yechim qadamlari

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3a+b\right)^{2} kengaytirilishi uchun ishlating.

$$5\left(9a^{2}+6ab+b^{2}\right)+6\left(3a+b\right)-8$$

5 ga 9a^{2}+6ab+b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$45a^{2}+30ab+5b^{2}+6\left(3a+b\right)-8$$

6 ga 3a+b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$45a^{2}+30ab+5b^{2}+18a+6b-8$$