2/5(sqrt{13}-4)(sqrt{13}+4) eching

$$\frac { 2 } { 5 } ( \sqrt { 13 } - 4 ) ( \sqrt { 13 } + 4 )$$

Baholash

$$-\frac{6}{5}=-1,2$$

Yechim qadamlari

\frac{2}{5} ga \sqrt{13}-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\frac{2}{5}\sqrt{13}+\frac{2}{5}\left(-4\right)\right)\left(\sqrt{13}+4\right)$$

\frac{2}{5}\left(-4\right) ni yagona kasrga aylantiring.

$$\left(\frac{2}{5}\sqrt{13}+\frac{2\left(-4\right)}{5}\right)\left(\sqrt{13}+4\right)$$

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

$$\left(\frac{2}{5}\sqrt{13}+\frac{-8}{5}\right)\left(\sqrt{13}+4\right)$$

\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.

$$\left(\frac{2}{5}\sqrt{13}-\frac{8}{5}\right)\left(\sqrt{13}+4\right)$$

\frac{2}{5}\sqrt{13}-\frac{8}{5} ifodaning har bir elementini \sqrt{13}+4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{2}{5}\sqrt{13}\sqrt{13}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

13 hosil qilish uchun \sqrt{13} va \sqrt{13} ni ko'paytirish.

$$\frac{2}{5}\times 13+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

\frac{2}{5}\times 13 ni yagona kasrga aylantiring.

$$\frac{2\times 13}{5}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

26 hosil qilish uchun 2 va 13 ni ko'paytirish.

$$\frac{26}{5}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

\frac{2}{5}\times 4 ni yagona kasrga aylantiring.

$$\frac{26}{5}+\frac{2\times 4}{5}\sqrt{13}-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

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

$$\frac{26}{5}+\frac{8}{5}\sqrt{13}-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

0 ni olish uchun \frac{8}{5}\sqrt{13} va -\frac{8}{5}\sqrt{13} ni birlashtirish.

$$\frac{26}{5}-\frac{8}{5}\times 4$$

-\frac{8}{5}\times 4 ni yagona kasrga aylantiring.

$$\frac{26}{5}+\frac{-8\times 4}{5}$$

-32 hosil qilish uchun -8 va 4 ni ko'paytirish.

$$\frac{26}{5}+\frac{-32}{5}$$

\frac{-32}{5} kasri manfiy belgini olib tashlash bilan -\frac{32}{5} sifatida qayta yozilishi mumkin.

$$\frac{26}{5}-\frac{32}{5}$$

\frac{26}{5} va \frac{32}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{26-32}{5}$$

-6 olish uchun 26 dan 32 ni ayirish.

$$-\frac{6}{5}$$

Omil

$$-\frac{6}{5} = -1\frac{1}{5} = -1,2$$