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

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

Evaluate

$$69120000$$

Solution Steps

Multiply 1000 and 0 to get 0.

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

Multiply 0 and 2 to get 0.

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

Subtract 4800 from 0 to get -4800.

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

Calculate -4800 to the power of 2 and get 23040000.

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

Multiply 7000 and 0 to get 0.

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

Multiply 0 and 6 to get 0.

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

Subtract 4800 from 0 to get -4800.

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

Calculate -4800 to the power of 2 and get 23040000.

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

Add 23040000 and 23040000 to get 46080000.

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

Multiply 2000 and 0 to get 0.

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

Multiply 0 and 2 to get 0.

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

Subtract 4800 from 0 to get -4800.

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

Calculate -4800 to the power of 2 and get 23040000.

$$46080000+23040000$$

Add 46080000 and 23040000 to get 69120000.

$$69120000$$

Factor

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