(3/2a-2b)^2-(-1/2a+3b)^2-2(-a)^2 eching

$$( \frac { 3 } { 2 } a - 2 b ) ^ { 2 } - ( - \frac { 1 } { 2 } a + 3 b ) ^ { 2 } - 2 ( - a ) ^ { 2 }$$

Baholash

$$-b\left(3a+5b\right)$$

Yechim qadamlari

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

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\left(-\frac{1}{2}a+3b\right)^{2}-2\left(-a\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(-\frac{1}{2}a+3b\right)^{2} kengaytirilishi uchun ishlating.

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\left(\frac{1}{4}a^{2}-3ab+9b^{2}\right)-2\left(-a\right)^{2}$$

\frac{1}{4}a^{2}-3ab+9b^{2} teskarisini topish uchun har birining teskarisini toping.

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\frac{1}{4}a^{2}+3ab-9b^{2}-2\left(-a\right)^{2}$$

2a^{2} ni olish uchun \frac{9}{4}a^{2} va -\frac{1}{4}a^{2} ni birlashtirish.

$$2a^{2}-6ab+4b^{2}+3ab-9b^{2}-2\left(-a\right)^{2}$$

-3ab ni olish uchun -6ab va 3ab ni birlashtirish.

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

-5b^{2} ni olish uchun 4b^{2} va -9b^{2} ni birlashtirish.

$$2a^{2}-3ab-5b^{2}-2\left(-a\right)^{2}$$

2 daraja ko‘rsatkichini -a ga hisoblang va a^{2} ni qiymatni oling.

$$2a^{2}-3ab-5b^{2}-2a^{2}$$

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

$$-3ab-5b^{2}$$

Kengaytirish

$$-3ab-5b^{2}$$

Yechim qadamlari

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

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\left(-\frac{1}{2}a+3b\right)^{2}-2\left(-a\right)^{2}$$

\left(p+q\right)^{2}=p^{2}+2pq+q^{2} binom teoremasini \left(-\frac{1}{2}a+3b\right)^{2} kengaytirilishi uchun ishlating.

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\left(\frac{1}{4}a^{2}-3ab+9b^{2}\right)-2\left(-a\right)^{2}$$

\frac{1}{4}a^{2}-3ab+9b^{2} teskarisini topish uchun har birining teskarisini toping.

$$\frac{9}{4}a^{2}-6ab+4b^{2}-\frac{1}{4}a^{2}+3ab-9b^{2}-2\left(-a\right)^{2}$$

2a^{2} ni olish uchun \frac{9}{4}a^{2} va -\frac{1}{4}a^{2} ni birlashtirish.

$$2a^{2}-6ab+4b^{2}+3ab-9b^{2}-2\left(-a\right)^{2}$$

-3ab ni olish uchun -6ab va 3ab ni birlashtirish.

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

-5b^{2} ni olish uchun 4b^{2} va -9b^{2} ni birlashtirish.

$$2a^{2}-3ab-5b^{2}-2\left(-a\right)^{2}$$

2 daraja ko‘rsatkichini -a ga hisoblang va a^{2} ni qiymatni oling.

$$2a^{2}-3ab-5b^{2}-2a^{2}$$

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

$$-3ab-5b^{2}$$