a^2left(4a-3right)^2-aleft(4a-3right)^3 eching

$${ a }^{ 2 } { \left(4a-3 \right) }^{ 2 } -a { \left( 4a-3 \right) }^{ 3 }$$

Baholash

$$3a\left(1-a\right)\left(4a-3\right)^{2}$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(4a-3\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}\left(16a^{2}-24a+9\right)-a\left(4a-3\right)^{3}$$

a^{2} ga 16a^{2}-24a+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{4}-24a^{3}+9a^{2}-a\left(4a-3\right)^{3}$$

\left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} binom teoremasini \left(4a-3\right)^{3} kengaytirilishi uchun ishlating.

$$16a^{4}-24a^{3}+9a^{2}-a\left(64a^{3}-144a^{2}+108a-27\right)$$

a ga 64a^{3}-144a^{2}+108a-27 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{4}-24a^{3}+9a^{2}-\left(64a^{4}-144a^{3}+108a^{2}-27a\right)$$

64a^{4}-144a^{3}+108a^{2}-27a teskarisini topish uchun har birining teskarisini toping.

$$16a^{4}-24a^{3}+9a^{2}-64a^{4}+144a^{3}-108a^{2}+27a$$

-48a^{4} ni olish uchun 16a^{4} va -64a^{4} ni birlashtirish.

$$-48a^{4}-24a^{3}+9a^{2}+144a^{3}-108a^{2}+27a$$

120a^{3} ni olish uchun -24a^{3} va 144a^{3} ni birlashtirish.

$$-48a^{4}+120a^{3}+9a^{2}-108a^{2}+27a$$

-99a^{2} ni olish uchun 9a^{2} va -108a^{2} ni birlashtirish.

$$-48a^{4}+120a^{3}-99a^{2}+27a$$

Kengaytirish

$$27a-99a^{2}+120a^{3}-48a^{4}$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(4a-3\right)^{2} kengaytirilishi uchun ishlating.

$$a^{2}\left(16a^{2}-24a+9\right)-a\left(4a-3\right)^{3}$$

a^{2} ga 16a^{2}-24a+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{4}-24a^{3}+9a^{2}-a\left(4a-3\right)^{3}$$

\left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} binom teoremasini \left(4a-3\right)^{3} kengaytirilishi uchun ishlating.

$$16a^{4}-24a^{3}+9a^{2}-a\left(64a^{3}-144a^{2}+108a-27\right)$$

a ga 64a^{3}-144a^{2}+108a-27 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{4}-24a^{3}+9a^{2}-\left(64a^{4}-144a^{3}+108a^{2}-27a\right)$$

64a^{4}-144a^{3}+108a^{2}-27a teskarisini topish uchun har birining teskarisini toping.

$$16a^{4}-24a^{3}+9a^{2}-64a^{4}+144a^{3}-108a^{2}+27a$$

-48a^{4} ni olish uchun 16a^{4} va -64a^{4} ni birlashtirish.

$$-48a^{4}-24a^{3}+9a^{2}+144a^{3}-108a^{2}+27a$$

120a^{3} ni olish uchun -24a^{3} va 144a^{3} ni birlashtirish.

$$-48a^{4}+120a^{3}+9a^{2}-108a^{2}+27a$$

-99a^{2} ni olish uchun 9a^{2} va -108a^{2} ni birlashtirish.

$$-48a^{4}+120a^{3}-99a^{2}+27a$$