h(3n+4)-(n-1)(3n+1) eching

$$h ( 3 n + 4 ) - ( n - 1 ) ( 3 n + 1 )$$

Baholash

$$-\left(n-1\right)\left(3n+1\right)+h\left(3n+4\right)$$

Yechim qadamlari

h ga 3n+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3hn+4h-\left(n-1\right)\left(3n+1\right)$$

n-1 ifodaning har bir elementini 3n+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$3hn+4h-\left(3n^{2}+n-3n-1\right)$$

-2n ni olish uchun n va -3n ni birlashtirish.

$$3hn+4h-\left(3n^{2}-2n-1\right)$$

3n^{2}-2n-1 teskarisini topish uchun har birining teskarisini toping.

$$3hn+4h-3n^{2}-\left(-2n\right)-\left(-1\right)$$

-2n ning teskarisi 2n ga teng.

$$3hn+4h-3n^{2}+2n-\left(-1\right)$$

-1 ning teskarisi 1 ga teng.

$$3hn+4h-3n^{2}+2n+1$$

Kengaytirish

$$1+4h+2n+3hn-3n^{2}$$

Yechim qadamlari

h ga 3n+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3hn+4h-\left(n-1\right)\left(3n+1\right)$$

n-1 ifodaning har bir elementini 3n+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$3hn+4h-\left(3n^{2}+n-3n-1\right)$$

-2n ni olish uchun n va -3n ni birlashtirish.

$$3hn+4h-\left(3n^{2}-2n-1\right)$$

3n^{2}-2n-1 teskarisini topish uchun har birining teskarisini toping.

$$3hn+4h-3n^{2}-\left(-2n\right)-\left(-1\right)$$

-2n ning teskarisi 2n ga teng.

$$3hn+4h-3n^{2}+2n-\left(-1\right)$$

-1 ning teskarisi 1 ga teng.

$$3hn+4h-3n^{2}+2n+1$$