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

$$( - 2 x ) ^ { 3 } \cdot x ^ { 3 } + ( - 3 x ^ { 3 } ) ^ { 2 }$$

Baholash

$$x^{6}$$

Yechim qadamlari

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

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

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

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

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

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

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$-8x^{6}+9x^{6}$$

x^{6} ni olish uchun -8x^{6} va 9x^{6} ni birlashtirish.

$$x^{6}$$

Kengaytirish

$$x^{6}$$

Yechim qadamlari

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

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

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

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

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

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

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$-8x^{6}+9x^{6}$$

x^{6} ni olish uchun -8x^{6} va 9x^{6} ni birlashtirish.

$$x^{6}$$