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

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

Avaliar

$$69120000$$

Passos Para a Resolução

Multiplique 1000 e 0 para obter 0.

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

Multiplique 0 e 2 para obter 0.

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

Subtraia 4800 de 0 para obter -4800.

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

Calcule -4800 elevado a 2 e obtenha 23040000.

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

Multiplique 7000 e 0 para obter 0.

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

Multiplique 0 e 6 para obter 0.

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

Subtraia 4800 de 0 para obter -4800.

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

Calcule -4800 elevado a 2 e obtenha 23040000.

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

Some 23040000 e 23040000 para obter 46080000.

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

Multiplique 2000 e 0 para obter 0.

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

Multiplique 0 e 2 para obter 0.

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

Subtraia 4800 de 0 para obter -4800.

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

Calcule -4800 elevado a 2 e obtenha 23040000.

$$46080000+23040000$$

Some 46080000 e 23040000 para obter 69120000.

$$69120000$$

Fatorizar

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