(3a+2b)(3a-2b)-4(3a+2b) eching

$$( 3 a + 2 b ) ( 3 a - 2 b ) - 4 ( 3 a + 2 b )$$

Baholash

$$\left(3a-2b-4\right)\left(3a+2b\right)$$

Yechim qadamlari

Hisoblang: \left(3a+2b\right)\left(3a-2b\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

\left(3a\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-2^{2}b^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-4b^{2}-4\left(3a+2b\right)$$

-4 ga 3a+2b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9a^{2}-4b^{2}-12a-8b$$

Kengaytirish

$$9a^{2}-12a-4b^{2}-8b$$

Yechim qadamlari

Hisoblang: \left(3a+2b\right)\left(3a-2b\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

\left(3a\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-2^{2}b^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-4b^{2}-4\left(3a+2b\right)$$

-4 ga 3a+2b ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9a^{2}-4b^{2}-12a-8b$$