1/2(a-2b)-1/3(3a-b)= eching

$$\frac { 1 } { 2 } ( a - 2 b ) - \frac { 1 } { 3 } ( 3 a - b ) =$$

Baholash

$$-\frac{a}{2}-\frac{2b}{3}$$

Yechim qadamlari

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

$$\frac{1}{2}a+\frac{1}{2}\left(-2\right)b-\frac{1}{3}\left(3a-b\right)$$

\frac{-2}{2} hosil qilish uchun \frac{1}{2} va -2 ni ko'paytirish.

$$\frac{1}{2}a+\frac{-2}{2}b-\frac{1}{3}\left(3a-b\right)$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$\frac{1}{2}a-b-\frac{1}{3}\left(3a-b\right)$$

-\frac{1}{3} ga 3a-b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}a-b-\frac{1}{3}\times 3a-\frac{1}{3}\left(-1\right)b$$

3 va 3 ni qisqartiring.

$$\frac{1}{2}a-b-a-\frac{1}{3}\left(-1\right)b$$

\frac{1}{3} hosil qilish uchun -\frac{1}{3} va -1 ni ko'paytirish.

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

-\frac{1}{2}a ni olish uchun \frac{1}{2}a va -a ni birlashtirish.

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

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

$$-\frac{1}{2}a-\frac{2}{3}b$$

Kengaytirish

$$-\frac{a}{2}-\frac{2b}{3}$$

Yechim qadamlari

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

$$\frac{1}{2}a+\frac{1}{2}\left(-2\right)b-\frac{1}{3}\left(3a-b\right)$$

\frac{-2}{2} hosil qilish uchun \frac{1}{2} va -2 ni ko'paytirish.

$$\frac{1}{2}a+\frac{-2}{2}b-\frac{1}{3}\left(3a-b\right)$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$\frac{1}{2}a-b-\frac{1}{3}\left(3a-b\right)$$

-\frac{1}{3} ga 3a-b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}a-b-\frac{1}{3}\times 3a-\frac{1}{3}\left(-1\right)b$$

3 va 3 ni qisqartiring.

$$\frac{1}{2}a-b-a-\frac{1}{3}\left(-1\right)b$$

\frac{1}{3} hosil qilish uchun -\frac{1}{3} va -1 ni ko'paytirish.

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

-\frac{1}{2}a ni olish uchun \frac{1}{2}a va -a ni birlashtirish.

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

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

$$-\frac{1}{2}a-\frac{2}{3}b$$