2(x^3+3)^2 eching

$$2 ( x ^ { 3 } + 3 ) ^ { 2 }$$

Kengaytirish

$$2x^{6}+12x^{3}+18$$

Yechim qadamlari

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

$$2\left(\left(x^{3}\right)^{2}+6x^{3}+9\right)$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$2\left(x^{6}+6x^{3}+9\right)$$

2 ga x^{6}+6x^{3}+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{6}+12x^{3}+18$$

Baholash

$$2\left(x^{3}+3\right)^{2}$$

Yechim qadamlari

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

$$2\left(\left(x^{3}\right)^{2}+6x^{3}+9\right)$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$2\left(x^{6}+6x^{3}+9\right)$$

2 ga x^{6}+6x^{3}+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{6}+12x^{3}+18$$