2left(5n+1right)left(4n-4/5right) eching

$$2 \left( 5n+1 \right) \left( 4n- \frac{ 4 }{ 5 } \right)$$

Baholash

$$40n^{2}-\frac{8}{5}$$

Yechim qadamlari

2 ga 5n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(10n+2\right)\left(4n-\frac{4}{5}\right)$$

10n+2 ifodaning har bir elementini 4n-\frac{4}{5} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$40n^{2}+10n\left(-\frac{4}{5}\right)+8n+2\left(-\frac{4}{5}\right)$$

10\left(-\frac{4}{5}\right) ni yagona kasrga aylantiring.

$$40n^{2}+\frac{10\left(-4\right)}{5}n+8n+2\left(-\frac{4}{5}\right)$$

-40 hosil qilish uchun 10 va -4 ni ko'paytirish.

$$40n^{2}+\frac{-40}{5}n+8n+2\left(-\frac{4}{5}\right)$$

-8 ni olish uchun -40 ni 5 ga bo‘ling.

$$40n^{2}-8n+8n+2\left(-\frac{4}{5}\right)$$

0 ni olish uchun -8n va 8n ni birlashtirish.

$$40n^{2}+2\left(-\frac{4}{5}\right)$$

2\left(-\frac{4}{5}\right) ni yagona kasrga aylantiring.

$$40n^{2}+\frac{2\left(-4\right)}{5}$$

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

$$40n^{2}+\frac{-8}{5}$$

\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.

$$40n^{2}-\frac{8}{5}$$

Kengaytirish

$$40n^{2}-\frac{8}{5}$$

Yechim qadamlari

2 ga 5n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(10n+2\right)\left(4n-\frac{4}{5}\right)$$

10n+2 ifodaning har bir elementini 4n-\frac{4}{5} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$40n^{2}+10n\left(-\frac{4}{5}\right)+8n+2\left(-\frac{4}{5}\right)$$

10\left(-\frac{4}{5}\right) ni yagona kasrga aylantiring.

$$40n^{2}+\frac{10\left(-4\right)}{5}n+8n+2\left(-\frac{4}{5}\right)$$

-40 hosil qilish uchun 10 va -4 ni ko'paytirish.

$$40n^{2}+\frac{-40}{5}n+8n+2\left(-\frac{4}{5}\right)$$

-8 ni olish uchun -40 ni 5 ga bo‘ling.

$$40n^{2}-8n+8n+2\left(-\frac{4}{5}\right)$$

0 ni olish uchun -8n va 8n ni birlashtirish.

$$40n^{2}+2\left(-\frac{4}{5}\right)$$

2\left(-\frac{4}{5}\right) ni yagona kasrga aylantiring.

$$40n^{2}+\frac{2\left(-4\right)}{5}$$

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

$$40n^{2}+\frac{-8}{5}$$

\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.

$$40n^{2}-\frac{8}{5}$$