-3(2+y)^2+y(y-2) eching

$$- 3 ( 2 + y ) ^ { 2 } + y ( y - 2 )$$

Baholash

$$-2\left(y+1\right)\left(y+6\right)$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2+y\right)^{2} kengaytirilishi uchun ishlating.

$$-3\left(4+4y+y^{2}\right)+y\left(y-2\right)$$

-3 ga 4+4y+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-12-12y-3y^{2}+y\left(y-2\right)$$

y ga y-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-12-12y-3y^{2}+y^{2}-2y$$

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

$$-12-12y-2y^{2}-2y$$

-14y ni olish uchun -12y va -2y ni birlashtirish.

$$-12-14y-2y^{2}$$

Kengaytirish

$$-2y^{2}-14y-12$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2+y\right)^{2} kengaytirilishi uchun ishlating.

$$-3\left(4+4y+y^{2}\right)+y\left(y-2\right)$$

-3 ga 4+4y+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-12-12y-3y^{2}+y\left(y-2\right)$$

y ga y-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-12-12y-3y^{2}+y^{2}-2y$$

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

$$-12-12y-2y^{2}-2y$$

-14y ni olish uchun -12y va -2y ni birlashtirish.

$$-12-14y-2y^{2}$$