(1/8-x^3):(x-1/2) eching

$$( \frac { 1 } { 8 } - x ^ { 3 } ) : ( x - \frac { 1 } { 2 } )$$

Baholash

$$-x^{2}-\frac{x}{2}-\frac{1}{4}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x-1 ni qisqartiring.

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

Ifodani kengaytiring.

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

-\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ni \frac{1}{2} ga bo'lish -\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ga k'paytirish \frac{1}{2} ga qaytarish.

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

-\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x^{2}-\frac{1}{2}x-\frac{1}{4}$$

Kengaytirish

$$-x^{2}-\frac{x}{2}-\frac{1}{4}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x-1 ni qisqartiring.

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

Ifodani kengaytiring.

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

-\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ni \frac{1}{2} ga bo'lish -\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ga k'paytirish \frac{1}{2} ga qaytarish.

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

-\frac{1}{2}x^{2}-\frac{1}{4}x-\frac{1}{8} ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x^{2}-\frac{1}{2}x-\frac{1}{4}$$