(a^2-2)(a^2+2)(4+a^4)(a^8+16) eching

$$( a ^ { 2 } - 2 ) ( a ^ { 2 } + 2 ) ( 4 + a ^ { 4 } ) ( a ^ { 8 } + 16 )$$

Baholash

$$a^{16}-256$$

Yechim qadamlari

a^{2}-2 ga a^{2}+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{4}-4\right)\left(4+a^{4}\right)\left(a^{8}+16\right)$$

a^{4}-4 ga 4+a^{4} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{8}-16\right)\left(a^{8}+16\right)$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 16 kvadratini chiqarish.

$$\left(a^{8}\right)^{2}-256$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 2 ni ko‘paytirib, 16 ni oling.

$$a^{16}-256$$

Kengaytirish

$$a^{16}-256$$

Yechim qadamlari

a^{2}-2 ga a^{2}+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{4}-4\right)\left(4+a^{4}\right)\left(a^{8}+16\right)$$

a^{4}-4 ga 4+a^{4} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{8}-16\right)\left(a^{8}+16\right)$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 16 kvadratini chiqarish.

$$\left(a^{8}\right)^{2}-256$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 8 va 2 ni ko‘paytirib, 16 ni oling.

$$a^{16}-256$$