(2sqrt{3}+3sqrt{5})*(2sqrt{3}-3sqrt{5}) eching

$$(2 \sqrt{ 3 } +3 \sqrt{ 5 } ) \times (2 \sqrt{ 3 } -3 \sqrt{ 5 } )$$

Baholash

$$-33$$

Yechim qadamlari

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

$$\left(2\sqrt{3}\right)^{2}-\left(3\sqrt{5}\right)^{2}$$

\left(2\sqrt{3}\right)^{2} ni kengaytirish.

$$2^{2}\left(\sqrt{3}\right)^{2}-\left(3\sqrt{5}\right)^{2}$$

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

$$4\left(\sqrt{3}\right)^{2}-\left(3\sqrt{5}\right)^{2}$$

\sqrt{3} kvadrati – 3.

$$4\times 3-\left(3\sqrt{5}\right)^{2}$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$12-\left(3\sqrt{5}\right)^{2}$$

\left(3\sqrt{5}\right)^{2} ni kengaytirish.

$$12-3^{2}\left(\sqrt{5}\right)^{2}$$

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

$$12-9\left(\sqrt{5}\right)^{2}$$

\sqrt{5} kvadrati – 5.

$$12-9\times 5$$

45 hosil qilish uchun 9 va 5 ni ko'paytirish.

$$12-45$$

-33 olish uchun 12 dan 45 ni ayirish.

$$-33$$

Omil

$$-33$$