Solve 1/10left(left(4-2right)^2+left(1-2right)^22+left(3-2right)^24+0right)

$$\frac{ 1 }{ 10 } \left( { \left(4-2 \right) }^{ 2 } + { \left(1-2 \right) }^{ 2 } 2+ { \left(3-2 \right) }^{ 2 } 4+0 \right)$$

Evaluate

$$1$$

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{1}{10}\left(2^{2}+\left(1-2\right)^{2}\times 2+\left(3-2\right)^{2}\times 4+0\right)$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{10}\left(4+\left(1-2\right)^{2}\times 2+\left(3-2\right)^{2}\times 4+0\right)$$

Subtract 2 from 1 to get -1.

$$\frac{1}{10}\left(4+\left(-1\right)^{2}\times 2+\left(3-2\right)^{2}\times 4+0\right)$$

Calculate -1 to the power of 2 and get 1.

$$\frac{1}{10}\left(4+1\times 2+\left(3-2\right)^{2}\times 4+0\right)$$

Multiply 1 and 2 to get 2.

$$\frac{1}{10}\left(4+2+\left(3-2\right)^{2}\times 4+0\right)$$

Add 4 and 2 to get 6.

$$\frac{1}{10}\left(6+\left(3-2\right)^{2}\times 4+0\right)$$

Subtract 2 from 3 to get 1.

$$\frac{1}{10}\left(6+1^{2}\times 4+0\right)$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{10}\left(6+1\times 4+0\right)$$

Multiply 1 and 4 to get 4.

$$\frac{1}{10}\left(6+4+0\right)$$

Add 6 and 4 to get 10.

$$\frac{1}{10}\left(10+0\right)$$

Add 10 and 0 to get 10.

$$\frac{1}{10}\times 10$$

Multiply \frac{1}{10} and 10 to get 1.

$$1$$

Factor

$$1$$