Resolver (1000*0.2-4800)^2+(7000*0.6-4800)^2+(2000*0.2-4800)^2=

$$( 1000 \cdot 0.2 - 4800 ) ^ { 2 } + ( 7000 \cdot 0.6 - 4800 ) ^ { 2 } + ( 2000 \cdot 0.2 - 4800 ) ^ { 2 } =$$

Calcular

$$40880000$$

Pasos da solución

Multiplica 1000 e 0.2 para obter 200.

$$\left(200-4800\right)^{2}+\left(7000\times 0.6-4800\right)^{2}+\left(2000\times 0.2-4800\right)^{2}$$

Resta 4800 de 200 para obter -4600.

$$\left(-4600\right)^{2}+\left(7000\times 0.6-4800\right)^{2}+\left(2000\times 0.2-4800\right)^{2}$$

Calcula -4600 á potencia de 2 e obtén 21160000.

$$21160000+\left(7000\times 0.6-4800\right)^{2}+\left(2000\times 0.2-4800\right)^{2}$$

Multiplica 7000 e 0.6 para obter 4200.

$$21160000+\left(4200-4800\right)^{2}+\left(2000\times 0.2-4800\right)^{2}$$

Resta 4800 de 4200 para obter -600.

$$21160000+\left(-600\right)^{2}+\left(2000\times 0.2-4800\right)^{2}$$

Calcula -600 á potencia de 2 e obtén 360000.

$$21160000+360000+\left(2000\times 0.2-4800\right)^{2}$$

Suma 21160000 e 360000 para obter 21520000.

$$21520000+\left(2000\times 0.2-4800\right)^{2}$$

Multiplica 2000 e 0.2 para obter 400.

$$21520000+\left(400-4800\right)^{2}$$

Resta 4800 de 400 para obter -4400.

$$21520000+\left(-4400\right)^{2}$$

Calcula -4400 á potencia de 2 e obtén 19360000.

$$21520000+19360000$$

Suma 21520000 e 19360000 para obter 40880000.

$$40880000$$

Factorizar

$$7\times 73\times 2^{7}\times 5^{4}$$