(m^2+m+1)(m+1)+(m^2-m-1)(m-1)-2m(m^2+1) eching

$$( m ^ { 2 } + m + 1 ) ( m + 1 ) + ( m ^ { 2 } - m - 1 ) ( m - 1 ) - 2 m ( m ^ { 2 } + 1 )$$

Baholash

$$2$$

Yechim qadamlari

m^{2}+m+1 ga m+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$m^{3}+2m^{2}+2m+1+\left(m^{2}-m-1\right)\left(m-1\right)-2m\left(m^{2}+1\right)$$

m^{2}-m-1 ga m-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$m^{3}+2m^{2}+2m+1+m^{3}-2m^{2}+1-2m\left(m^{2}+1\right)$$

2m^{3} ni olish uchun m^{3} va m^{3} ni birlashtirish.

$$2m^{3}+2m^{2}+2m+1-2m^{2}+1-2m\left(m^{2}+1\right)$$

0 ni olish uchun 2m^{2} va -2m^{2} ni birlashtirish.

$$2m^{3}+2m+1+1-2m\left(m^{2}+1\right)$$

2 olish uchun 1 va 1'ni qo'shing.

$$2m^{3}+2m+2-2m\left(m^{2}+1\right)$$

-2m ga m^{2}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2m^{3}+2m+2-2m^{3}-2m$$

0 ni olish uchun 2m^{3} va -2m^{3} ni birlashtirish.

$$2m+2-2m$$

0 ni olish uchun 2m va -2m ni birlashtirish.

$$2$$

Omil

$$2$$