left(sqrt{3}-2right)2007*left(2+sqrt{3}right)2008 eching

$$\left( \sqrt{ 3 } -2 \right) 2007 \times \left( 2+ \sqrt{ 3 } \right) 2008$$

Baholash

$$-4030056$$

Yechim qadamlari

4030056 hosil qilish uchun 2007 va 2008 ni ko'paytirish.

$$4030056\left(\sqrt{3}-2\right)\left(2+\sqrt{3}\right)$$

4030056 ga \sqrt{3}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(4030056\sqrt{3}-8060112\right)\left(2+\sqrt{3}\right)$$

4030056\sqrt{3}-8060112 ifodaning har bir elementini 2+\sqrt{3} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$8060112\sqrt{3}+4030056\left(\sqrt{3}\right)^{2}-16120224-8060112\sqrt{3}$$

\sqrt{3} kvadrati – 3.

$$8060112\sqrt{3}+4030056\times 3-16120224-8060112\sqrt{3}$$

12090168 hosil qilish uchun 4030056 va 3 ni ko'paytirish.

$$8060112\sqrt{3}[phone]-16120224-8060112\sqrt{3}$$

-4030056 olish uchun 12090168 dan 16120224 ni ayirish.

$$8060112\sqrt{3}-4030056-8060112\sqrt{3}$$

0 ni olish uchun 8060112\sqrt{3} va -8060112\sqrt{3} ni birlashtirish.

$$-4030056$$

Omil

$$-4030056$$