[-3a^{4}(-a^{2})^{2}]*(-3a^{7})+21a^6*(-7a^5)*(12a^3+16a^2) eching

$$[ - 3 a ^ { 4 } ( - a ^ { 2 } ) ^ { 2 } ] \cdot ( - 3 a ^ { 7 } ) + 21 a ^ { 6 } \cdot ( - 7 a ^ { 5 } ) \cdot ( 12 a ^ { 3 } + 16 a ^ { 2 } )$$

Baholash

$$3\left(3a^{2}-588a-784\right)a^{13}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 7 ni qo‘shib, 11 ni oling.

$$-3a^{11}\left(-a^{2}\right)^{2}\left(-3\right)+21a^{6}\left(-7\right)a^{5}\left(12a^{3}+16a^{2}\right)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 5 ni qo‘shib, 11 ni oling.

$$-3a^{11}\left(-a^{2}\right)^{2}\left(-3\right)+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

2 daraja ko‘rsatkichini -a^{2} ga hisoblang va \left(a^{2}\right)^{2} ni qiymatni oling.

$$-3a^{11}\left(a^{2}\right)^{2}\left(-3\right)+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

9 hosil qilish uchun -3 va -3 ni ko'paytirish.

$$9a^{11}\left(a^{2}\right)^{2}+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

-147 hosil qilish uchun 21 va -7 ni ko'paytirish.

$$9a^{11}\left(a^{2}\right)^{2}-147a^{11}\left(12a^{3}+16a^{2}\right)$$

-147a^{11} ga 12a^{3}+16a^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9a^{11}\left(a^{2}\right)^{2}-1764a^{14}-2352a^{13}$$

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

$$9a^{11}a^{4}-1764a^{14}-2352a^{13}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 11 va 4 ni qo‘shib, 15 ni oling.

$$9a^{15}-1764a^{14}-2352a^{13}$$

Kengaytirish

$$9a^{15}-1764a^{14}-2352a^{13}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 7 ni qo‘shib, 11 ni oling.

$$-3a^{11}\left(-a^{2}\right)^{2}\left(-3\right)+21a^{6}\left(-7\right)a^{5}\left(12a^{3}+16a^{2}\right)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 5 ni qo‘shib, 11 ni oling.

$$-3a^{11}\left(-a^{2}\right)^{2}\left(-3\right)+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

2 daraja ko‘rsatkichini -a^{2} ga hisoblang va \left(a^{2}\right)^{2} ni qiymatni oling.

$$-3a^{11}\left(a^{2}\right)^{2}\left(-3\right)+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

9 hosil qilish uchun -3 va -3 ni ko'paytirish.

$$9a^{11}\left(a^{2}\right)^{2}+21a^{11}\left(-7\right)\left(12a^{3}+16a^{2}\right)$$

-147 hosil qilish uchun 21 va -7 ni ko'paytirish.

$$9a^{11}\left(a^{2}\right)^{2}-147a^{11}\left(12a^{3}+16a^{2}\right)$$

-147a^{11} ga 12a^{3}+16a^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9a^{11}\left(a^{2}\right)^{2}-1764a^{14}-2352a^{13}$$

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

$$9a^{11}a^{4}-1764a^{14}-2352a^{13}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 11 va 4 ni qo‘shib, 15 ni oling.

$$9a^{15}-1764a^{14}-2352a^{13}$$