(4k^2)^2-4(2k^2-2)(1+2k^2) eching

$$( 4 k ^ { 2 } ) ^ { 2 } - 4 ( 2 k ^ { 2 } - 2 ) ( 1 + 2 k ^ { 2 } )$$

Baholash

$$8\left(k^{2}+1\right)$$

Yechim qadamlari

\left(4k^{2}\right)^{2} ni kengaytirish.

$$4^{2}\left(k^{2}\right)^{2}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

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

$$4^{2}k^{4}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$16k^{4}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

-4 ga 2k^{2}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16k^{4}+\left(-8k^{2}+8\right)\left(1+2k^{2}\right)$$

-8k^{2}+8 ga 1+2k^{2} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$16k^{4}+8k^{2}-16k^{4}+8$$

0 ni olish uchun 16k^{4} va -16k^{4} ni birlashtirish.

$$8k^{2}+8$$

Kengaytirish

$$8k^{2}+8$$

Yechim qadamlari

\left(4k^{2}\right)^{2} ni kengaytirish.

$$4^{2}\left(k^{2}\right)^{2}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

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

$$4^{2}k^{4}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$16k^{4}-4\left(2k^{2}-2\right)\left(1+2k^{2}\right)$$

-4 ga 2k^{2}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16k^{4}+\left(-8k^{2}+8\right)\left(1+2k^{2}\right)$$

-8k^{2}+8 ga 1+2k^{2} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$16k^{4}+8k^{2}-16k^{4}+8$$

0 ni olish uchun 16k^{4} va -16k^{4} ni birlashtirish.

$$8k^{2}+8$$