3^{3}+3*5^2+2*3^2-4*(1^2*3-11^2+3) eching

$$3 ^ { 3 } + 3 \times 5 ^ { 2 } + 2 \times 3 ^ { 2 } - 4 \times ( 1 ^ { 2 } \times 3 - 11 ^ { 2 } + 3 )$$

Baholash

$$580$$

Yechim qadamlari

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$27+3\times 5^{2}+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$27+3\times 25+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

75 hosil qilish uchun 3 va 25 ni ko'paytirish.

$$27+75+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

102 olish uchun 27 va 75'ni qo'shing.

$$102+2\times 3^{2}-4\left(1^{2}\times 3-11^{2}+3\right)$$

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

$$102+2\times 9-4\left(1^{2}\times 3-11^{2}+3\right)$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$102+18-4\left(1^{2}\times 3-11^{2}+3\right)$$

120 olish uchun 102 va 18'ni qo'shing.

$$120-4\left(1^{2}\times 3-11^{2}+3\right)$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$120-4\left(1\times 3-11^{2}+3\right)$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$120-4\left(3-11^{2}+3\right)$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$120-4\left(3-121+3\right)$$

-118 olish uchun 3 dan 121 ni ayirish.

$$120-4\left(-118+3\right)$$

-115 olish uchun -118 va 3'ni qo'shing.

$$120-4\left(-115\right)$$

-460 hosil qilish uchun 4 va -115 ni ko'paytirish.

$$120-\left(-460\right)$$

-460 ning teskarisi 460 ga teng.

$$120+460$$

580 olish uchun 120 va 460'ni qo'shing.

$$580$$

Omil

$$2^{2}\times 5\times 29$$