-(6a-3b)^2-(3b+2a)^2= eching

$$- ( 6 a - 3 b ) ^ { 2 } - ( 3 b + 2 a ) ^ { 2 } =$$

Baholash

$$-40a^{2}+24ab-18b^{2}$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(6a-3b\right)^{2} kengaytirilishi uchun ishlating.

$$-\left(36a^{2}-36ab+9b^{2}\right)-\left(3b+2a\right)^{2}$$

36a^{2}-36ab+9b^{2} teskarisini topish uchun har birining teskarisini toping.

$$-36a^{2}+36ab-9b^{2}-\left(3b+2a\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3b+2a\right)^{2} kengaytirilishi uchun ishlating.

$$-36a^{2}+36ab-9b^{2}-\left(9b^{2}+12ba+4a^{2}\right)$$

9b^{2}+12ba+4a^{2} teskarisini topish uchun har birining teskarisini toping.

$$-36a^{2}+36ab-9b^{2}-9b^{2}-12ba-4a^{2}$$

-18b^{2} ni olish uchun -9b^{2} va -9b^{2} ni birlashtirish.

$$-36a^{2}+36ab-18b^{2}-12ba-4a^{2}$$

24ab ni olish uchun 36ab va -12ba ni birlashtirish.

$$-36a^{2}+24ab-18b^{2}-4a^{2}$$

-40a^{2} ni olish uchun -36a^{2} va -4a^{2} ni birlashtirish.

$$-40a^{2}+24ab-18b^{2}$$

Kengaytirish

$$-40a^{2}+24ab-18b^{2}$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(6a-3b\right)^{2} kengaytirilishi uchun ishlating.

$$-\left(36a^{2}-36ab+9b^{2}\right)-\left(3b+2a\right)^{2}$$

36a^{2}-36ab+9b^{2} teskarisini topish uchun har birining teskarisini toping.

$$-36a^{2}+36ab-9b^{2}-\left(3b+2a\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(3b+2a\right)^{2} kengaytirilishi uchun ishlating.

$$-36a^{2}+36ab-9b^{2}-\left(9b^{2}+12ba+4a^{2}\right)$$

9b^{2}+12ba+4a^{2} teskarisini topish uchun har birining teskarisini toping.

$$-36a^{2}+36ab-9b^{2}-9b^{2}-12ba-4a^{2}$$

-18b^{2} ni olish uchun -9b^{2} va -9b^{2} ni birlashtirish.

$$-36a^{2}+36ab-18b^{2}-12ba-4a^{2}$$

24ab ni olish uchun 36ab va -12ba ni birlashtirish.

$$-36a^{2}+24ab-18b^{2}-4a^{2}$$

-40a^{2} ni olish uchun -36a^{2} va -4a^{2} ni birlashtirish.

$$-40a^{2}+24ab-18b^{2}$$