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

$$( 8 ) ( x + 3 ) ( x + 4 ) - x ( x + 2 ) - 5$$

Baholash

$$7x^{2}+54x+91$$

Yechim qadamlari

8 ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(8x+24\right)\left(x+4\right)-x\left(x+2\right)-5$$

8x+24 ifodaning har bir elementini x+4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$8x^{2}+32x+24x+96-x\left(x+2\right)-5$$

56x ni olish uchun 32x va 24x ni birlashtirish.

$$8x^{2}+56x+96-x\left(x+2\right)-5$$

x ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x^{2}+56x+96-\left(x^{2}+2x\right)-5$$

x^{2}+2x teskarisini topish uchun har birining teskarisini toping.

$$8x^{2}+56x+96-x^{2}-2x-5$$

7x^{2} ni olish uchun 8x^{2} va -x^{2} ni birlashtirish.

$$7x^{2}+56x+96-2x-5$$

54x ni olish uchun 56x va -2x ni birlashtirish.

$$7x^{2}+54x+96-5$$

91 olish uchun 96 dan 5 ni ayirish.

$$7x^{2}+54x+91$$

Kengaytirish

$$7x^{2}+54x+91$$

Yechim qadamlari

8 ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(8x+24\right)\left(x+4\right)-x\left(x+2\right)-5$$

8x+24 ifodaning har bir elementini x+4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$8x^{2}+32x+24x+96-x\left(x+2\right)-5$$

56x ni olish uchun 32x va 24x ni birlashtirish.

$$8x^{2}+56x+96-x\left(x+2\right)-5$$

x ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x^{2}+56x+96-\left(x^{2}+2x\right)-5$$

x^{2}+2x teskarisini topish uchun har birining teskarisini toping.

$$8x^{2}+56x+96-x^{2}-2x-5$$

7x^{2} ni olish uchun 8x^{2} va -x^{2} ni birlashtirish.

$$7x^{2}+56x+96-2x-5$$

54x ni olish uchun 56x va -2x ni birlashtirish.

$$7x^{2}+54x+96-5$$

91 olish uchun 96 dan 5 ni ayirish.

$$7x^{2}+54x+91$$