=2(a^2-b^2)-3(ab-b^2)+(b^2-ab) eching

$$= 2 ( a ^ { 2 } - b ^ { 2 } ) - 3 ( a b - b ^ { 2 } ) + ( b ^ { 2 } - a b )$$

Baholash

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

Yechim qadamlari

2 ga a^{2}-b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-3 ga ab-b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}-2b^{2}-3ab+3b^{2}+b^{2}-ab$$

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

$$2a^{2}+b^{2}-3ab+b^{2}-ab$$

2b^{2} ni olish uchun b^{2} va b^{2} ni birlashtirish.

$$2a^{2}+2b^{2}-3ab-ab$$

-4ab ni olish uchun -3ab va -ab ni birlashtirish.

$$2a^{2}+2b^{2}-4ab$$

Kengaytirish

$$2a^{2}-4ab+2b^{2}$$

Yechim qadamlari

2 ga a^{2}-b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-3 ga ab-b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2a^{2}-2b^{2}-3ab+3b^{2}+b^{2}-ab$$

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

$$2a^{2}+b^{2}-3ab+b^{2}-ab$$

2b^{2} ni olish uchun b^{2} va b^{2} ni birlashtirish.

$$2a^{2}+2b^{2}-3ab-ab$$

-4ab ni olish uchun -3ab va -ab ni birlashtirish.

$$2a^{2}+2b^{2}-4ab$$