(5sqrt{3}-6)*(-14sqrt{3}-5)-(-10sqrt{3}-3)*(7sqrt{3}-10) eching

$$(5 \sqrt{ 3 } -6) \times (-14 \sqrt{ 3 } -5)-(-10 \sqrt{ 3 } -3) \times (7 \sqrt{ 3 } -10)$$

Baholash

$$-20\sqrt{3}\approx -34,641016151$$

Yechim qadamlari

5\sqrt{3}-6 ifodaning har bir elementini -14\sqrt{3}-5 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-70\left(\sqrt{3}\right)^{2}-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

\sqrt{3} kvadrati – 3.

$$-70\times 3-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

-210 hosil qilish uchun -70 va 3 ni ko'paytirish.

$$-210-25\sqrt{3}+84\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

59\sqrt{3} ni olish uchun -25\sqrt{3} va 84\sqrt{3} ni birlashtirish.

$$-210+59\sqrt{3}+30-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

-180 olish uchun -210 va 30'ni qo'shing.

$$-180+59\sqrt{3}-\left(-10\sqrt{3}-3\right)\left(7\sqrt{3}-10\right)$$

-10\sqrt{3}-3 ifodaning har bir elementini 7\sqrt{3}-10 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-180+59\sqrt{3}-\left(-70\left(\sqrt{3}\right)^{2}+100\sqrt{3}-21\sqrt{3}+30\right)$$

\sqrt{3} kvadrati – 3.

$$-180+59\sqrt{3}-\left(-70\times 3+100\sqrt{3}-21\sqrt{3}+30\right)$$

-210 hosil qilish uchun -70 va 3 ni ko'paytirish.

$$-180+59\sqrt{3}-\left(-210+100\sqrt{3}-21\sqrt{3}+30\right)$$

79\sqrt{3} ni olish uchun 100\sqrt{3} va -21\sqrt{3} ni birlashtirish.

$$-180+59\sqrt{3}-\left(-210+79\sqrt{3}+30\right)$$

-180 olish uchun -210 va 30'ni qo'shing.

$$-180+59\sqrt{3}-\left(-180+79\sqrt{3}\right)$$

-180+79\sqrt{3} teskarisini topish uchun har birining teskarisini toping.

$$-180+59\sqrt{3}-\left(-180\right)-79\sqrt{3}$$

-180 ning teskarisi 180 ga teng.

$$-180+59\sqrt{3}+180-79\sqrt{3}$$

0 olish uchun -180 va 180'ni qo'shing.

$$59\sqrt{3}-79\sqrt{3}$$

-20\sqrt{3} ni olish uchun 59\sqrt{3} va -79\sqrt{3} ni birlashtirish.

$$-20\sqrt{3}$$