frac{sqrt{3}}{4}x(-3/2x+24) eching

$$\frac { \sqrt { 3 } } { 4 } x ( - \frac { 3 } { 2 } x + 24 )$$

Baholash

$$\frac{3\sqrt{3}x\left(16-x\right)}{8}$$

Qisqa yechim qadamlari

\frac{\sqrt{3}}{4}x ni yagona kasrga aylantiring.

$$\frac{\sqrt{3}x}{4}\left(-\frac{3}{2}x+24\right)$$

\frac{\sqrt{3}x}{4} ga -\frac{3}{2}x+24 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\sqrt{3}x}{4}\left(-\frac{3}{2}\right)x+24\times \frac{\sqrt{3}x}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{3}x}{4} ni -\frac{3}{2} ga ko‘paytiring.

$$\frac{-\sqrt{3}x\times 3}{4\times 2}x+24\times \frac{\sqrt{3}x}{4}$$

\frac{-\sqrt{3}x\times 3}{4\times 2}x ni yagona kasrga aylantiring.

$$\frac{-\sqrt{3}x\times 3x}{4\times 2}+24\times \frac{\sqrt{3}x}{4}$$

24 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$\frac{-\sqrt{3}x\times 3x}{4\times 2}+6\sqrt{3}x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6\sqrt{3}x ni \frac{4\times 2}{4\times 2} marotabaga ko'paytirish.

$$\frac{-\sqrt{3}x\times 3x}{4\times 2}+\frac{6\sqrt{3}x\times 4\times 2}{4\times 2}$$

\frac{-\sqrt{3}x\times 3x}{4\times 2} va \frac{6\sqrt{3}x\times 4\times 2}{4\times 2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-\sqrt{3}x\times 3x+6\sqrt{3}x\times 4\times 2}{4\times 2}$$

-\sqrt{3}x\times 3x+6\sqrt{3}x\times 4\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-3\sqrt{3}x^{2}+48\sqrt{3}x}{4\times 2}$$

4\times 2 ni kengaytirish.

$$\frac{-3\sqrt{3}x^{2}+48\sqrt{3}x}{8}$$

Omil

$$\frac{3\sqrt{3}x\left(16-x\right)}{8}$$