5a^3-20aa^3-3a^2-10aa^2(a-1)-2a+8 eching

$$5 a ^ { 3 } - 20 a a ^ { 3 } - 3 a ^ { 2 } - 10 a a ^ { 2 } ( a - 1 ) - 2 a + 8$$

Baholash

$$8-2a-3a^{2}+15a^{3}-30a^{4}$$

Yechim qadamlari

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

$$5a^{3}-20a^{4}-3a^{2}-10aa^{2}\left(a-1\right)-2a+8$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$5a^{3}-20a^{4}-3a^{2}-10a^{3}\left(a-1\right)-2a+8$$

-10a^{3} ga a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5a^{3}-20a^{4}-3a^{2}-10a^{4}+10a^{3}-2a+8$$

-30a^{4} ni olish uchun -20a^{4} va -10a^{4} ni birlashtirish.

$$5a^{3}-30a^{4}-3a^{2}+10a^{3}-2a+8$$

15a^{3} ni olish uchun 5a^{3} va 10a^{3} ni birlashtirish.

$$15a^{3}-30a^{4}-3a^{2}-2a+8$$

Kengaytirish

$$8-2a-3a^{2}+15a^{3}-30a^{4}$$

Yechim qadamlari

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

$$5a^{3}-20a^{4}-3a^{2}-10aa^{2}\left(a-1\right)-2a+8$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$5a^{3}-20a^{4}-3a^{2}-10a^{3}\left(a-1\right)-2a+8$$

-10a^{3} ga a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5a^{3}-20a^{4}-3a^{2}-10a^{4}+10a^{3}-2a+8$$

-30a^{4} ni olish uchun -20a^{4} va -10a^{4} ni birlashtirish.

$$5a^{3}-30a^{4}-3a^{2}+10a^{3}-2a+8$$

15a^{3} ni olish uchun 5a^{3} va 10a^{3} ni birlashtirish.

$$15a^{3}-30a^{4}-3a^{2}-2a+8$$