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

$$8 - x + \frac { 1 } { 2 } ( x - 4 ) ( 2 x - \frac { 1 } { 4 } x ^ { 2 } + 1 ) - 2 ( 2 - 2 x + \frac { 1 } { 4 } x ^ { 2 } - 1 )$$

Baholash

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

Yechim qadamlari

\frac{1}{2} ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8-x+\left(\frac{1}{2}x-2\right)\left(2x-\frac{1}{4}x^{2}+1\right)-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

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

$$8-x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{7}{2}x-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

-\frac{9}{2}x ni olish uchun -x va -\frac{7}{2}x ni birlashtirish.

$$8-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

6 olish uchun 8 dan 2 ni ayirish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

1 olish uchun 2 dan 1 ni ayirish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(1-2x+\frac{1}{4}x^{2}\right)$$

-2 ga 1-2x+\frac{1}{4}x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2+4x-\frac{1}{2}x^{2}$$

4 olish uchun 6 dan 2 ni ayirish.

$$4-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}+4x-\frac{1}{2}x^{2}$$

-\frac{1}{2}x ni olish uchun -\frac{9}{2}x va 4x ni birlashtirish.

$$4-\frac{1}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{1}{2}x^{2}$$

x^{2} ni olish uchun \frac{3}{2}x^{2} va -\frac{1}{2}x^{2} ni birlashtirish.

$$4-\frac{1}{2}x+x^{2}-\frac{1}{8}x^{3}$$

Kengaytirish

$$-\frac{x^{3}}{8}+x^{2}-\frac{x}{2}+4$$

Yechim qadamlari

\frac{1}{2} ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8-x+\left(\frac{1}{2}x-2\right)\left(2x-\frac{1}{4}x^{2}+1\right)-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

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

$$8-x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{7}{2}x-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

-\frac{9}{2}x ni olish uchun -x va -\frac{7}{2}x ni birlashtirish.

$$8-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

6 olish uchun 8 dan 2 ni ayirish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

1 olish uchun 2 dan 1 ni ayirish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(1-2x+\frac{1}{4}x^{2}\right)$$

-2 ga 1-2x+\frac{1}{4}x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2+4x-\frac{1}{2}x^{2}$$

4 olish uchun 6 dan 2 ni ayirish.

$$4-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}+4x-\frac{1}{2}x^{2}$$

-\frac{1}{2}x ni olish uchun -\frac{9}{2}x va 4x ni birlashtirish.

$$4-\frac{1}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{1}{2}x^{2}$$

x^{2} ni olish uchun \frac{3}{2}x^{2} va -\frac{1}{2}x^{2} ni birlashtirish.

$$4-\frac{1}{2}x+x^{2}-\frac{1}{8}x^{3}$$