Solve left(13-8right)^2+left(13-14right)^2+left(13-13right)^2+left(13-10right)^2+{left(13-12right)}^2+{left(13-21right)}^2=

$${ \left(13-8 \right) }^{ 2 } + { \left(13-14 \right) }^{ 2 } + { \left(13-13 \right) }^{ 2 } + { \left(13-10 \right) }^{ 2 } + { \left(13-12 \right) }^{ 2 } + { \left(13-21 \right) }^{ 2 } =$$

Evaluate

$$100$$

Solution Steps

Subtract 8 from 13 to get 5.

$$5^{2}+\left(13-14\right)^{2}+\left(13-13\right)^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25+\left(13-14\right)^{2}+\left(13-13\right)^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Subtract 14 from 13 to get -1.

$$25+\left(-1\right)^{2}+\left(13-13\right)^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

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

$$25+1+\left(13-13\right)^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Add 25 and 1 to get 26.

$$26+\left(13-13\right)^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Subtract 13 from 13 to get 0.

$$26+0^{2}+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Calculate 0 to the power of 2 and get 0.

$$26+0+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Add 26 and 0 to get 26.

$$26+\left(13-10\right)^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Subtract 10 from 13 to get 3.

$$26+3^{2}+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Calculate 3 to the power of 2 and get 9.

$$26+9+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Add 26 and 9 to get 35.

$$35+\left(13-12\right)^{2}+\left(13-21\right)^{2}$$

Subtract 12 from 13 to get 1.

$$35+1^{2}+\left(13-21\right)^{2}$$

Calculate 1 to the power of 2 and get 1.

$$35+1+\left(13-21\right)^{2}$$

Add 35 and 1 to get 36.

$$36+\left(13-21\right)^{2}$$

Subtract 21 from 13 to get -8.

$$36+\left(-8\right)^{2}$$

Calculate -8 to the power of 2 and get 64.

$$36+64$$

Add 36 and 64 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$