(2)(x^2+4)^2-16x^2 eching

$$( 2 ) ( x ^ { 2 } + 4 ) ^ { 2 } - 16 x ^ { 2 }$$

Baholash

$$2\left(x^{4}+16\right)$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x^{2}+4\right)^{2} kengaytirilishi uchun ishlating.

$$2\left(\left(x^{2}\right)^{2}+8x^{2}+16\right)-16x^{2}$$

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

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

2 ga x^{4}+8x^{2}+16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{4}+16x^{2}+32-16x^{2}$$

0 ni olish uchun 16x^{2} va -16x^{2} ni birlashtirish.

$$2x^{4}+32$$

Kengaytirish

$$2x^{4}+32$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x^{2}+4\right)^{2} kengaytirilishi uchun ishlating.

$$2\left(\left(x^{2}\right)^{2}+8x^{2}+16\right)-16x^{2}$$

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

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

2 ga x^{4}+8x^{2}+16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{4}+16x^{2}+32-16x^{2}$$

0 ni olish uchun 16x^{2} va -16x^{2} ni birlashtirish.

$$2x^{4}+32$$