2^2((1-p)^2)+(-2^2(p-p^2))= eching

$$2 ^ { 2 } ( ( 1 - p ) ^ { 2 } ) + ( - 2 ^ { 2 } ( p - p ^ { 2 } ) ) =$$

Baholash

$$4\left(p-1\right)\left(2p-1\right)$$

Yechim qadamlari

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4\left(1-p\right)^{2}+\left(-2^{2}\right)\left(p-p^{2}\right)$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(1-p\right)^{2} kengaytirilishi uchun ishlating.

$$4\left(1-2p+p^{2}\right)+\left(-2^{2}\right)\left(p-p^{2}\right)$$

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

$$4-8p+4p^{2}+\left(-2^{2}\right)\left(p-p^{2}\right)$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4-8p+4p^{2}-4\left(p-p^{2}\right)$$

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

$$4-8p+4p^{2}-4p+4p^{2}$$

-12p ni olish uchun -8p va -4p ni birlashtirish.

$$4-12p+4p^{2}+4p^{2}$$

8p^{2} ni olish uchun 4p^{2} va 4p^{2} ni birlashtirish.

$$4-12p+8p^{2}$$

Kengaytirish

$$8p^{2}-12p+4$$

Yechim qadamlari

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4\left(1-p\right)^{2}+\left(-2^{2}\right)\left(p-p^{2}\right)$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(1-p\right)^{2} kengaytirilishi uchun ishlating.

$$4\left(1-2p+p^{2}\right)+\left(-2^{2}\right)\left(p-p^{2}\right)$$

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

$$4-8p+4p^{2}+\left(-2^{2}\right)\left(p-p^{2}\right)$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$4-8p+4p^{2}-4\left(p-p^{2}\right)$$

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

$$4-8p+4p^{2}-4p+4p^{2}$$

-12p ni olish uchun -8p va -4p ni birlashtirish.

$$4-12p+4p^{2}+4p^{2}$$

8p^{2} ni olish uchun 4p^{2} va 4p^{2} ni birlashtirish.

$$4-12p+8p^{2}$$