(1000*02-4800)^2+(7000*06-4800)^2+(2000*02-4800)^2= eching

$$( 1000 \cdot 02 - 4800 ) ^ { 2 } + ( 7000 \cdot 06 - 4800 ) ^ { 2 } + ( 2000 \cdot 02 - 4800 ) ^ { 2 } =$$

Baholash

$$69120000$$

Yechim qadamlari

0 hosil qilish uchun 1000 va 0 ni ko'paytirish.

$$\left(0\times 2-4800\right)^{2}+\left(7000\times 0\times 6-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$\left(0-4800\right)^{2}+\left(7000\times 0\times 6-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

-4800 olish uchun 0 dan 4800 ni ayirish.

$$\left(-4800\right)^{2}+\left(7000\times 0\times 6-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

2 daraja ko‘rsatkichini -4800 ga hisoblang va 23040000 ni qiymatni oling.

$$23040000+\left(7000\times 0\times 6-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

0 hosil qilish uchun 7000 va 0 ni ko'paytirish.

$$23040000+\left(0\times 6-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$23040000+\left(0-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

-4800 olish uchun 0 dan 4800 ni ayirish.

$$23040000+\left(-4800\right)^{2}+\left(2000\times 0\times 2-4800\right)^{2}$$

2 daraja ko‘rsatkichini -4800 ga hisoblang va 23040000 ni qiymatni oling.

$$23040000+23040000+\left(2000\times 0\times 2-4800\right)^{2}$$

46080000 olish uchun 23040000 va 23040000'ni qo'shing.

$$46080000+\left(2000\times 0\times 2-4800\right)^{2}$$

0 hosil qilish uchun 2000 va 0 ni ko'paytirish.

$$46080000+\left(0\times 2-4800\right)^{2}$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$46080000+\left(0-4800\right)^{2}$$

-4800 olish uchun 0 dan 4800 ni ayirish.

$$46080000+\left(-4800\right)^{2}$$

2 daraja ko‘rsatkichini -4800 ga hisoblang va 23040000 ni qiymatni oling.

$$46080000+23040000$$

69120000 olish uchun 46080000 va 23040000'ni qo'shing.

$$69120000$$

Omil

$$2^{12}\times 3^{3}\times 5^{4}$$