left(2x+1/3right)left(3x+2/3right) eching

$$\left( 2x+ \frac{ 1 }{ 3 } \right) \left( 3x+ \frac{ 2 }{ 3 } \right)$$

Baholash

$$6x^{2}+\frac{7x}{3}+\frac{2}{9}$$

Yechim qadamlari

2x+\frac{1}{3} ifodaning har bir elementini 3x+\frac{2}{3} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$6x^{2}+2x\times \frac{2}{3}+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

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

$$6x^{2}+\frac{2\times 2}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

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

$$6x^{2}+\frac{4}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

3 va 3 ni qisqartiring.

$$6x^{2}+\frac{4}{3}x+x+\frac{1}{3}\times \frac{2}{3}$$

\frac{7}{3}x ni olish uchun \frac{4}{3}x va x ni birlashtirish.

$$6x^{2}+\frac{7}{3}x+\frac{1}{3}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{2}{3} ga ko‘paytiring.

$$6x^{2}+\frac{7}{3}x+\frac{1\times 2}{3\times 3}$$

\frac{1\times 2}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$6x^{2}+\frac{7}{3}x+\frac{2}{9}$$

Kengaytirish

$$6x^{2}+\frac{7x}{3}+\frac{2}{9}$$

Yechim qadamlari

2x+\frac{1}{3} ifodaning har bir elementini 3x+\frac{2}{3} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$6x^{2}+2x\times \frac{2}{3}+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

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

$$6x^{2}+\frac{2\times 2}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

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

$$6x^{2}+\frac{4}{3}x+\frac{1}{3}\times 3x+\frac{1}{3}\times \frac{2}{3}$$

3 va 3 ni qisqartiring.

$$6x^{2}+\frac{4}{3}x+x+\frac{1}{3}\times \frac{2}{3}$$

\frac{7}{3}x ni olish uchun \frac{4}{3}x va x ni birlashtirish.

$$6x^{2}+\frac{7}{3}x+\frac{1}{3}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{2}{3} ga ko‘paytiring.

$$6x^{2}+\frac{7}{3}x+\frac{1\times 2}{3\times 3}$$

\frac{1\times 2}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$6x^{2}+\frac{7}{3}x+\frac{2}{9}$$