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

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

Baholash

$$\frac{4b}{3}-\frac{a}{2}$$

Yechim qadamlari

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

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

2 va 2 ni qisqartiring.

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

-\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{4}{3}b ni olish uchun b va \frac{1}{3}b ni birlashtirish.

$$-\frac{1}{2}a+\frac{4}{3}b$$

Kengaytirish

$$\frac{4b}{3}-\frac{a}{2}$$

Yechim qadamlari

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

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

2 va 2 ni qisqartiring.

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

-\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{4}{3}b ni olish uchun b va \frac{1}{3}b ni birlashtirish.

$$-\frac{1}{2}a+\frac{4}{3}b$$