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

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

Baholash

$$4x^{6}$$

Yechim qadamlari

\left(2x^{2}\right)^{3} ni kengaytirish.

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

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$8x^{6}-\left(2x^{3}\right)^{2}$$

\left(2x^{3}\right)^{2} ni kengaytirish.

$$8x^{6}-2^{2}\left(x^{3}\right)^{2}$$

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

$$8x^{6}-2^{2}x^{6}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$8x^{6}-4x^{6}$$

4x^{6} ni olish uchun 8x^{6} va -4x^{6} ni birlashtirish.

$$4x^{6}$$

Kengaytirish

$$4x^{6}$$

Yechim qadamlari

\left(2x^{2}\right)^{3} ni kengaytirish.

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

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$8x^{6}-\left(2x^{3}\right)^{2}$$

\left(2x^{3}\right)^{2} ni kengaytirish.

$$8x^{6}-2^{2}\left(x^{3}\right)^{2}$$

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

$$8x^{6}-2^{2}x^{6}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$8x^{6}-4x^{6}$$

4x^{6} ni olish uchun 8x^{6} va -4x^{6} ni birlashtirish.

$$4x^{6}$$