2x(x^2-5)^3 eching

$$2 x ( x ^ { 2 } - 5 ) ^ { 3 }$$

Kengaytirish

$$2x^{7}-30x^{5}+150x^{3}-250x$$

Yechim qadamlari

\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} binom teoremasini \left(x^{2}-5\right)^{3} kengaytirilishi uchun ishlating.

$$2x\left(\left(x^{2}\right)^{3}-15\left(x^{2}\right)^{2}+75x^{2}-125\right)$$

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

$$2x\left(x^{6}-15\left(x^{2}\right)^{2}+75x^{2}-125\right)$$

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

$$2x\left(x^{6}-15x^{4}+75x^{2}-125\right)$$

2x ga x^{6}-15x^{4}+75x^{2}-125 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{7}-30x^{5}+150x^{3}-250x$$

Baholash

$$2x\left(x^{2}-5\right)^{3}$$

Yechim qadamlari

\left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} binom teoremasini \left(x^{2}-5\right)^{3} kengaytirilishi uchun ishlating.

$$2x\left(\left(x^{2}\right)^{3}-15\left(x^{2}\right)^{2}+75x^{2}-125\right)$$

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

$$2x\left(x^{6}-15\left(x^{2}\right)^{2}+75x^{2}-125\right)$$

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

$$2x\left(x^{6}-15x^{4}+75x^{2}-125\right)$$

2x ga x^{6}-15x^{4}+75x^{2}-125 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{7}-30x^{5}+150x^{3}-250x$$