(a-1)(a+3)(2-a)+(a^2+a+2)(a-3) eching

$$( a - 1 ) ( a + 3 ) ( 2 - a ) + ( a ^ { 2 } + a + 2 ) ( a - 3 )$$

Baholash

$$-2a^{2}+6a-12$$

Yechim qadamlari

a-1 ga a+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{2}+2a-3\right)\left(2-a\right)+\left(a^{2}+a+2\right)\left(a-3\right)$$

a^{2}+2a-3 ga 2-a ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-a^{3}+7a-6+\left(a^{2}+a+2\right)\left(a-3\right)$$

a^{2}+a+2 ga a-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-a^{3}+7a-6+a^{3}-2a^{2}-a-6$$

0 ni olish uchun -a^{3} va a^{3} ni birlashtirish.

$$7a-6-2a^{2}-a-6$$

6a ni olish uchun 7a va -a ni birlashtirish.

$$6a-6-2a^{2}-6$$

-12 olish uchun -6 dan 6 ni ayirish.

$$6a-12-2a^{2}$$

Kengaytirish

$$-2a^{2}+6a-12$$

Yechim qadamlari

a-1 ga a+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\left(a^{2}+2a-3\right)\left(2-a\right)+\left(a^{2}+a+2\right)\left(a-3\right)$$

a^{2}+2a-3 ga 2-a ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-a^{3}+7a-6+\left(a^{2}+a+2\right)\left(a-3\right)$$

a^{2}+a+2 ga a-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-a^{3}+7a-6+a^{3}-2a^{2}-a-6$$

0 ni olish uchun -a^{3} va a^{3} ni birlashtirish.

$$7a-6-2a^{2}-a-6$$

6a ni olish uchun 7a va -a ni birlashtirish.

$$6a-6-2a^{2}-6$$

-12 olish uchun -6 dan 6 ni ayirish.

$$6a-12-2a^{2}$$