(2*32^2-2/9*32^2-24*32+16:2*32-2/3*32-4-14*32/9*32^2-16)*(4+3*32)^2/32-1 eching

$$( \frac { 2 \cdot 32 ^ { 2 } - 2 } { 9 \cdot 32 ^ { 2 } - 24 \cdot 32 + 16 } : \frac { 2 \cdot 32 - 2 } { 3 \cdot 32 - 4 } - \frac { 14 \cdot 32 } { 9 \cdot 32 ^ { 2 } - 16 } ) \cdot \frac { ( 4 + 3 \cdot 32 ) ^ { 2 } } { 32 - 1 }$$

Baholash

$$100$$

Yechim qadamlari

\frac{2\times 32^{2}-2}{9\times 32^{2}-24\times 32+16} ni \frac{2\times 32-2}{3\times 32-4} ga bo'lish \frac{2\times 32^{2}-2}{9\times 32^{2}-24\times 32+16} ga k'paytirish \frac{2\times 32-2}{3\times 32-4} ga qaytarish.

$$\left(\frac{\left(2\times 32^{2}-2\right)\left(3\times 32-4\right)}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

2 daraja ko‘rsatkichini 32 ga hisoblang va 1024 ni qiymatni oling.

$$\left(\frac{\left(2\times 1024-2\right)\left(3\times 32-4\right)}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

2048 hosil qilish uchun 2 va 1024 ni ko'paytirish.

$$\left(\frac{\left(2048-2\right)\left(3\times 32-4\right)}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

2046 olish uchun 2048 dan 2 ni ayirish.

$$\left(\frac{2046\left(3\times 32-4\right)}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

96 hosil qilish uchun 3 va 32 ni ko'paytirish.

$$\left(\frac{2046\left(96-4\right)}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

92 olish uchun 96 dan 4 ni ayirish.

$$\left(\frac{2046\times 92}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

188232 hosil qilish uchun 2046 va 92 ni ko'paytirish.

$$\left(\frac{188232}{\left(9\times 32^{2}-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

2 daraja ko‘rsatkichini 32 ga hisoblang va 1024 ni qiymatni oling.

$$\left(\frac{188232}{\left(9\times 1024-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

9216 hosil qilish uchun 9 va 1024 ni ko'paytirish.

$$\left(\frac{188232}{\left(9216-24\times 32+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

768 hosil qilish uchun 24 va 32 ni ko'paytirish.

$$\left(\frac{188232}{\left(9216-768+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

8448 olish uchun 9216 dan 768 ni ayirish.

$$\left(\frac{188232}{\left(8448+16\right)\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

8464 olish uchun 8448 va 16'ni qo'shing.

$$\left(\frac{188232}{8464\left(2\times 32-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

64 hosil qilish uchun 2 va 32 ni ko'paytirish.

$$\left(\frac{188232}{8464\left(64-2\right)}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

62 olish uchun 64 dan 2 ni ayirish.

$$\left(\frac{188232}{8464\times 62}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

524768 hosil qilish uchun 8464 va 62 ni ko'paytirish.

$$\left(\frac{188232}{524768}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

\frac{188232}{524768} ulushini 5704 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{33}{92}-\frac{14\times 32}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

448 hosil qilish uchun 14 va 32 ni ko'paytirish.

$$\left(\frac{33}{92}-\frac{448}{9\times 32^{2}-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

2 daraja ko‘rsatkichini 32 ga hisoblang va 1024 ni qiymatni oling.

$$\left(\frac{33}{92}-\frac{448}{9\times 1024-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

9216 hosil qilish uchun 9 va 1024 ni ko'paytirish.

$$\left(\frac{33}{92}-\frac{448}{9216-16}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

9200 olish uchun 9216 dan 16 ni ayirish.

$$\left(\frac{33}{92}-\frac{448}{9200}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

\frac{448}{9200} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{33}{92}-\frac{28}{575}\right)\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

\frac{31}{100} olish uchun \frac{33}{92} dan \frac{28}{575} ni ayirish.

$$\frac{31}{100}\times \frac{\left(4+3\times 32\right)^{2}}{32-1}$$

96 hosil qilish uchun 3 va 32 ni ko'paytirish.

$$\frac{31}{100}\times \frac{\left(4+96\right)^{2}}{32-1}$$

100 olish uchun 4 va 96'ni qo'shing.

$$\frac{31}{100}\times \frac{100^{2}}{32-1}$$

2 daraja ko‘rsatkichini 100 ga hisoblang va 10000 ni qiymatni oling.

$$\frac{31}{100}\times \frac{10000}{32-1}$$

31 olish uchun 32 dan 1 ni ayirish.

$$\frac{31}{100}\times \frac{10000}{31}$$

100 hosil qilish uchun \frac{31}{100} va \frac{10000}{31} ni ko'paytirish.

$$100$$

Omil

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