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

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

Baholash

$$-2$$

Yechim qadamlari

x-1 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

Hisoblang: \left(x^{2}-1\right)\left(x^{2}+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.

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

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

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

x^{4}+1 teskarisini topish uchun har birining teskarisini toping.

$$x^{4}-1-x^{4}-1$$

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

$$-1-1$$

-2 olish uchun -1 dan 1 ni ayirish.

$$-2$$

Omil

$$-2$$