(1)(2sqrt{2}+3)(2sqrt{2}-3) eching

$$( 1 ) ( 2 \sqrt { 2 } + 3 ) ( 2 \sqrt { 2 } - 3 )$$

Baholash

$$-1$$

Yechim qadamlari

1 ga 2\sqrt{2}+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(2\sqrt{2}+3\right)\left(2\sqrt{2}-3\right)$$

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

$$\left(2\sqrt{2}\right)^{2}-3^{2}$$

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

$$2^{2}\left(\sqrt{2}\right)^{2}-3^{2}$$

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

$$4\left(\sqrt{2}\right)^{2}-3^{2}$$

\sqrt{2} kvadrati – 2.

$$4\times 2-3^{2}$$

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$8-3^{2}$$

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

$$8-9$$

-1 olish uchun 8 dan 9 ni ayirish.

$$-1$$

Omil

$$-1$$