(-a+2b)^2-(-a-2b)^2 eching

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

Baholash

$$-8ab$$

Yechim qadamlari

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

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

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

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

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

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

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

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

4 hosil qilish uchun -4 va -1 ni ko'paytirish.

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

a^{2}+4ab+4b^{2} teskarisini topish uchun har birining teskarisini toping.

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

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

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

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

$$4\left(-a\right)b-4ab$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$-4ab-4ab$$

-8ab ni olish uchun -4ab va -4ab ni birlashtirish.

$$-8ab$$

Kengaytirish

$$-8ab$$

Yechim qadamlari

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

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

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

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

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

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

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

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

4 hosil qilish uchun -4 va -1 ni ko'paytirish.

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

a^{2}+4ab+4b^{2} teskarisini topish uchun har birining teskarisini toping.

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

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

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

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

$$4\left(-a\right)b-4ab$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$-4ab-4ab$$

-8ab ni olish uchun -4ab va -4ab ni birlashtirish.

$$-8ab$$