4/3(3/2x-2)-5/2(2x+3) eching

$$\frac { 4 } { 3 } ( \frac { 3 } { 2 } x - 2 ) - \frac { 5 } { 2 } ( 2 x + 3 )$$

Baholash

$$-3x-\frac{61}{6}$$

Yechim qadamlari

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

$$\frac{4}{3}\times \frac{3}{2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

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

$$\frac{4\times 3}{3\times 2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{4}{2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$2x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

\frac{4}{3}\left(-2\right) ni yagona kasrga aylantiring.

$$2x+\frac{4\left(-2\right)}{3}-\frac{5}{2}\left(2x+3\right)$$

-8 hosil qilish uchun 4 va -2 ni ko'paytirish.

$$2x+\frac{-8}{3}-\frac{5}{2}\left(2x+3\right)$$

\frac{-8}{3} kasri manfiy belgini olib tashlash bilan -\frac{8}{3} sifatida qayta yozilishi mumkin.

$$2x-\frac{8}{3}-\frac{5}{2}\left(2x+3\right)$$

-\frac{5}{2} ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-\frac{8}{3}-\frac{5}{2}\times 2x-\frac{5}{2}\times 3$$

2 va 2 ni qisqartiring.

$$2x-\frac{8}{3}-5x-\frac{5}{2}\times 3$$

-\frac{5}{2}\times 3 ni yagona kasrga aylantiring.

$$2x-\frac{8}{3}-5x+\frac{-5\times 3}{2}$$

-15 hosil qilish uchun -5 va 3 ni ko'paytirish.

$$2x-\frac{8}{3}-5x+\frac{-15}{2}$$

\frac{-15}{2} kasri manfiy belgini olib tashlash bilan -\frac{15}{2} sifatida qayta yozilishi mumkin.

$$2x-\frac{8}{3}-5x-\frac{15}{2}$$

-3x ni olish uchun 2x va -5x ni birlashtirish.

$$-3x-\frac{8}{3}-\frac{15}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. -\frac{8}{3} va \frac{15}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-3x-\frac{16}{6}-\frac{45}{6}$$

-\frac{16}{6} va \frac{45}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-3x+\frac{-16-45}{6}$$

-61 olish uchun -16 dan 45 ni ayirish.

$$-3x-\frac{61}{6}$$

Kengaytirish

$$-3x-\frac{61}{6}$$

Yechim qadamlari

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

$$\frac{4}{3}\times \frac{3}{2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

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

$$\frac{4\times 3}{3\times 2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{4}{2}x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$2x+\frac{4}{3}\left(-2\right)-\frac{5}{2}\left(2x+3\right)$$

\frac{4}{3}\left(-2\right) ni yagona kasrga aylantiring.

$$2x+\frac{4\left(-2\right)}{3}-\frac{5}{2}\left(2x+3\right)$$

-8 hosil qilish uchun 4 va -2 ni ko'paytirish.

$$2x+\frac{-8}{3}-\frac{5}{2}\left(2x+3\right)$$

\frac{-8}{3} kasri manfiy belgini olib tashlash bilan -\frac{8}{3} sifatida qayta yozilishi mumkin.

$$2x-\frac{8}{3}-\frac{5}{2}\left(2x+3\right)$$

-\frac{5}{2} ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-\frac{8}{3}-\frac{5}{2}\times 2x-\frac{5}{2}\times 3$$

2 va 2 ni qisqartiring.

$$2x-\frac{8}{3}-5x-\frac{5}{2}\times 3$$

-\frac{5}{2}\times 3 ni yagona kasrga aylantiring.

$$2x-\frac{8}{3}-5x+\frac{-5\times 3}{2}$$

-15 hosil qilish uchun -5 va 3 ni ko'paytirish.

$$2x-\frac{8}{3}-5x+\frac{-15}{2}$$

\frac{-15}{2} kasri manfiy belgini olib tashlash bilan -\frac{15}{2} sifatida qayta yozilishi mumkin.

$$2x-\frac{8}{3}-5x-\frac{15}{2}$$

-3x ni olish uchun 2x va -5x ni birlashtirish.

$$-3x-\frac{8}{3}-\frac{15}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. -\frac{8}{3} va \frac{15}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-3x-\frac{16}{6}-\frac{45}{6}$$

-\frac{16}{6} va \frac{45}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-3x+\frac{-16-45}{6}$$

-61 olish uchun -16 dan 45 ni ayirish.

$$-3x-\frac{61}{6}$$