left(2a+1right)left(2a-1right)-4aleft(a-1right) eching

$$\left( 2a+1 \right) \left( 2a-1 \right) -4a \left( a-1 \right)$$

Baholash

$$4a-1$$

Yechim qadamlari

Hisoblang: \left(2a+1\right)\left(2a-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

\left(2a\right)^{2} ni kengaytirish.

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

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

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

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

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

-4a ga a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4a^{2}-1-4a^{2}+4a$$

0 ni olish uchun 4a^{2} va -4a^{2} ni birlashtirish.

$$-1+4a$$

Kengaytirish

$$4a-1$$

Yechim qadamlari

Hisoblang: \left(2a+1\right)\left(2a-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

\left(2a\right)^{2} ni kengaytirish.

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

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

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

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

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

-4a ga a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4a^{2}-1-4a^{2}+4a$$

0 ni olish uchun 4a^{2} va -4a^{2} ni birlashtirish.

$$-1+4a$$