(3x^4)^2+(2x^2)^4 eching

$$( 3 x ^ { 4 } ) ^ { 2 } + ( 2 x ^ { 2 } ) ^ { 4 }$$

Baholash

$$25x^{8}$$

Yechim qadamlari

\left(3x^{4}\right)^{2} ni kengaytirish.

$$3^{2}\left(x^{4}\right)^{2}+\left(2x^{2}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$3^{2}x^{8}+\left(2x^{2}\right)^{4}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9x^{8}+\left(2x^{2}\right)^{4}$$

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

$$9x^{8}+2^{4}\left(x^{2}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$9x^{8}+2^{4}x^{8}$$

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

$$9x^{8}+16x^{8}$$

25x^{8} ni olish uchun 9x^{8} va 16x^{8} ni birlashtirish.

$$25x^{8}$$

Kengaytirish

$$25x^{8}$$

Yechim qadamlari

\left(3x^{4}\right)^{2} ni kengaytirish.

$$3^{2}\left(x^{4}\right)^{2}+\left(2x^{2}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$3^{2}x^{8}+\left(2x^{2}\right)^{4}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9x^{8}+\left(2x^{2}\right)^{4}$$

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

$$9x^{8}+2^{4}\left(x^{2}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$9x^{8}+2^{4}x^{8}$$

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

$$9x^{8}+16x^{8}$$

25x^{8} ni olish uchun 9x^{8} va 16x^{8} ni birlashtirish.

$$25x^{8}$$