(-3a^2b^2)^2+1/2ab(-3ab)^3 eching

$$( - 3 a ^ { 2 } b ^ { 2 } ) ^ { 2 } + \frac { 1 } { 2 } a b ( - 3 a b ) ^ { 3 }$$

Baholash

$$-\frac{9\left(ab\right)^{4}}{2}$$

Yechim qadamlari

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

$$\left(-3\right)^{2}\left(a^{2}\right)^{2}\left(b^{2}\right)^{2}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$\left(-3\right)^{2}a^{4}\left(b^{2}\right)^{2}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$\left(-3\right)^{2}a^{4}b^{4}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-3\right)^{3}a^{3}b^{3}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-27\right)a^{3}b^{3}$$

-\frac{27}{2} hosil qilish uchun \frac{1}{2} va -27 ni ko'paytirish.

$$9a^{4}b^{4}-\frac{27}{2}aba^{3}b^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$9a^{4}b^{4}-\frac{27}{2}a^{4}bb^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$9a^{4}b^{4}-\frac{27}{2}a^{4}b^{4}$$

-\frac{9}{2}a^{4}b^{4} ni olish uchun 9a^{4}b^{4} va -\frac{27}{2}a^{4}b^{4} ni birlashtirish.

$$-\frac{9}{2}a^{4}b^{4}$$

Kengaytirish

$$-\frac{9\left(ab\right)^{4}}{2}$$

Yechim qadamlari

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

$$\left(-3\right)^{2}\left(a^{2}\right)^{2}\left(b^{2}\right)^{2}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$\left(-3\right)^{2}a^{4}\left(b^{2}\right)^{2}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$\left(-3\right)^{2}a^{4}b^{4}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-3ab\right)^{3}$$

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

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-3\right)^{3}a^{3}b^{3}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$9a^{4}b^{4}+\frac{1}{2}ab\left(-27\right)a^{3}b^{3}$$

-\frac{27}{2} hosil qilish uchun \frac{1}{2} va -27 ni ko'paytirish.

$$9a^{4}b^{4}-\frac{27}{2}aba^{3}b^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$9a^{4}b^{4}-\frac{27}{2}a^{4}bb^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$9a^{4}b^{4}-\frac{27}{2}a^{4}b^{4}$$

-\frac{9}{2}a^{4}b^{4} ni olish uchun 9a^{4}b^{4} va -\frac{27}{2}a^{4}b^{4} ni birlashtirish.

$$-\frac{9}{2}a^{4}b^{4}$$