(2x^2+8)^3 eching

$$( 2 x ^ { 2 } + 8 ) ^ { 3 }$$

Baholash

$$8\left(x^{2}+4\right)^{3}$$

Yechim qadamlari

\left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} binom teoremasini \left(2x^{2}+8\right)^{3} kengaytirilishi uchun ishlating.

$$8\left(x^{2}\right)^{3}+96\left(x^{2}\right)^{2}+384x^{2}+512$$

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

$$8x^{6}+96\left(x^{2}\right)^{2}+384x^{2}+512$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$8x^{6}+96x^{4}+384x^{2}+512$$

Kengaytirish

$$8x^{6}+96x^{4}+384x^{2}+512$$

Yechim qadamlari

\left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} binom teoremasini \left(2x^{2}+8\right)^{3} kengaytirilishi uchun ishlating.

$$8\left(x^{2}\right)^{3}+96\left(x^{2}\right)^{2}+384x^{2}+512$$

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

$$8x^{6}+96\left(x^{2}\right)^{2}+384x^{2}+512$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$8x^{6}+96x^{4}+384x^{2}+512$$