(4x^2-9)^3 eching

$$( 4 x ^ { 2 } - 9 ) ^ { 3 }$$

Kengaytirish

$$64x^{6}-432x^{4}+972x^{2}-729$$

Yechim qadamlari

\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} binom teoremasini \left(4x^{2}-9\right)^{3} kengaytirilishi uchun ishlating.

$$64\left(x^{2}\right)^{3}-432\left(x^{2}\right)^{2}+972x^{2}-729$$

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

$$64x^{6}-432\left(x^{2}\right)^{2}+972x^{2}-729$$

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

$$64x^{6}-432x^{4}+972x^{2}-729$$

Baholash

$$\left(4x^{2}-9\right)^{3}$$

Yechim qadamlari

\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} binom teoremasini \left(4x^{2}-9\right)^{3} kengaytirilishi uchun ishlating.

$$64\left(x^{2}\right)^{3}-432\left(x^{2}\right)^{2}+972x^{2}-729$$

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

$$64x^{6}-432\left(x^{2}\right)^{2}+972x^{2}-729$$

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

$$64x^{6}-432x^{4}+972x^{2}-729$$