2a+6b-3(a+3b)^2 eching

$$2 a + 6 b - 3 ( a + 3 b ) ^ { 2 }$$

Baholash

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

Yechim qadamlari

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

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

-3 ga a^{2}+6ab+9b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a+6b-3a^{2}-18ab-27b^{2}$$

Kengaytirish

$$6b-27b^{2}+2a-18ab-3a^{2}$$

Yechim qadamlari

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

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

-3 ga a^{2}+6ab+9b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a+6b-3a^{2}-18ab-27b^{2}$$