f(t)=(2-3t^2)^3 eching

$$f ( t ) = ( 2 - 3 t ^ { 2 } ) ^ { 3 }$$

Baholash

$$\left(2-3t^{2}\right)^{3}$$

Yechim qadamlari

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

$$8-36t^{2}+54\left(t^{2}\right)^{2}-27\left(t^{2}\right)^{3}$$

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

$$8-36t^{2}+54t^{4}-27\left(t^{2}\right)^{3}$$

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

$$8-36t^{2}+54t^{4}-27t^{6}$$

Kengaytirish

$$8-36t^{2}+54t^{4}-27t^{6}$$

Yechim qadamlari

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

$$8-36t^{2}+54\left(t^{2}\right)^{2}-27\left(t^{2}\right)^{3}$$

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

$$8-36t^{2}+54t^{4}-27\left(t^{2}\right)^{3}$$

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

$$8-36t^{2}+54t^{4}-27t^{6}$$