a/2+2a^2/3-4a^3/4= eching

$$\frac { a } { 2 } + \frac { 2 a ^ { 2 } } { 3 } - \frac { 4 a ^ { 3 } } { 4 } =$$

Baholash

$$-a^{3}+\frac{2a^{2}}{3}+\frac{a}{2}$$

Qisqa yechim qadamlari

4 va 4 ni qisqartiring.

$$\frac{a}{2}+\frac{2a^{2}}{3}-a^{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{a}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{2a^{2}}{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{3a}{6}+\frac{2\times 2a^{2}}{6}-a^{3}$$

\frac{3a}{6} va \frac{2\times 2a^{2}}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3a+2\times 2a^{2}}{6}-a^{3}$$

3a+2\times 2a^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{3a+4a^{2}}{6}-a^{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a^{3} ni \frac{6}{6} marotabaga ko'paytirish.

$$\frac{3a+4a^{2}}{6}-\frac{6a^{3}}{6}$$

\frac{3a+4a^{2}}{6} va \frac{6a^{3}}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3a+4a^{2}-6a^{3}}{6}$$

\frac{1}{2}a-a^{3}+\frac{2}{3}a^{2} natijani olish uchun 3a+4a^{2}-6a^{3} ning har bir ifodasini 6 ga bo‘ling.

$$\frac{1}{2}a-a^{3}+\frac{2}{3}a^{2}$$

Omil

$$-a\left(a-\left(-\frac{\sqrt{22}}{6}+\frac{1}{3}\right)\right)\left(a-\left(\frac{\sqrt{22}}{6}+\frac{1}{3}\right)\right)$$