17+1/2(n-1)(n-2)12+1/6(r eching

$$17 + 1 / 2 ( n - 1 ) ( n - 2 ) 12 + 1 / 6 ( r$$

Baholash

$$6n^{2}+\frac{r}{6}-18n+29$$

Yechim qadamlari

\frac{12}{2} hosil qilish uchun \frac{1}{2} va 12 ni ko'paytirish.

$$17+\frac{12}{2}\left(n-1\right)\left(n-2\right)+\frac{1}{6}r$$

6 ni olish uchun 12 ni 2 ga bo‘ling.

$$17+6\left(n-1\right)\left(n-2\right)+\frac{1}{6}r$$

6 ga n-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$17+\left(6n-6\right)\left(n-2\right)+\frac{1}{6}r$$

6n-6 ifodaning har bir elementini n-2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$17+6n^{2}-12n-6n+12+\frac{1}{6}r$$

-18n ni olish uchun -12n va -6n ni birlashtirish.

$$17+6n^{2}-18n+12+\frac{1}{6}r$$

29 olish uchun 17 va 12'ni qo'shing.

$$29+6n^{2}-18n+\frac{1}{6}r$$

Kengaytirish

$$6n^{2}+\frac{r}{6}-18n+29$$

Yechim qadamlari

\frac{12}{2} hosil qilish uchun \frac{1}{2} va 12 ni ko'paytirish.

$$17+\frac{12}{2}\left(n-1\right)\left(n-2\right)+\frac{1}{6}r$$

6 ni olish uchun 12 ni 2 ga bo‘ling.

$$17+6\left(n-1\right)\left(n-2\right)+\frac{1}{6}r$$

6 ga n-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$17+\left(6n-6\right)\left(n-2\right)+\frac{1}{6}r$$

6n-6 ifodaning har bir elementini n-2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$17+6n^{2}-12n-6n+12+\frac{1}{6}r$$

-18n ni olish uchun -12n va -6n ni birlashtirish.

$$17+6n^{2}-18n+12+\frac{1}{6}r$$

29 olish uchun 17 va 12'ni qo'shing.

$$29+6n^{2}-18n+\frac{1}{6}r$$