(-1/2-a)(1/2-a)(a^2+1/4)+(1-a^2)(a^2+1) eching

$$( - \frac { 1 } { 2 } - a ) ( \frac { 1 } { 2 } - a ) ( a ^ { 2 } + \frac { 1 } { 4 } ) + ( 1 - a ^ { 2 } ) ( a ^ { 2 } + 1 )$$

Baholash

$$\frac{15}{16}=0,9375$$

Yechim qadamlari

-\frac{1}{2}-a ga \frac{1}{2}-a ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

-\frac{1}{4}+a^{2} ga a^{2}+\frac{1}{4} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

Hisoblang: \left(1-a^{2}\right)\left(a^{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.

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

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

$$-\frac{1}{16}+a^{4}+1-a^{4}$$

\frac{15}{16} olish uchun -\frac{1}{16} va 1'ni qo'shing.

$$\frac{15}{16}+a^{4}-a^{4}$$

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

$$\frac{15}{16}$$

Omil

$$\frac{3 \cdot 5}{2 ^ {4}} = 0,9375$$

Yechim qadamlari

\frac{1}{16} omili.

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

Qisqartirish.

$$\frac{15}{16}$$