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

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

Evaluate

$$40880000$$

Solution Steps

Multiply 1000 and 0.2 to get 200.

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

Subtract 4800 from 200 to get -4600.

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

Calculate -4600 to the power of 2 and get 21160000.

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

Multiply 7000 and 0.6 to get 4200.

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

Subtract 4800 from 4200 to get -600.

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

Calculate -600 to the power of 2 and get 360000.

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

Add 21160000 and 360000 to get 21520000.

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

Multiply 2000 and 0.2 to get 400.

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

Subtract 4800 from 400 to get -4400.

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

Calculate -4400 to the power of 2 and get 19360000.

$$21520000+19360000$$

Add 21520000 and 19360000 to get 40880000.

$$40880000$$

Factor

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