Solve left(85-855right)^2+left(85-855right)^2+left(87-855right)^2+left(81-855right)^2+{left(80-855right)}^2+{left(79-855right)}^2+{left(87-855right)}^2+{left(93-855right)}^2

$${ \left(85-855 \right) }^{ 2 } + { \left(85-855 \right) }^{ 2 } + { \left(87-855 \right) }^{ 2 } + { \left(81-855 \right) }^{ 2 } + { \left(80-855 \right) }^{ 2 } + { \left(79-855 \right) }^{ 2 } + { \left(87-855 \right) }^{ 2 } + { \left(93-855 \right) }^{ 2 }$$

Evaluate

$$4747969$$

Solution Steps

Subtract 855 from 85 to get -770.

$$\left(-770\right)^{2}+\left(85-855\right)^{2}+\left(87-855\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -770 to the power of 2 and get 592900.

$$592900+\left(85-855\right)^{2}+\left(87-855\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 85 to get -770.

$$592900+\left(-770\right)^{2}+\left(87-855\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -770 to the power of 2 and get 592900.

$$592900+592900+\left(87-855\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Add 592900 and 592900 to get 1185800.

$$1185800+\left(87-855\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 87 to get -768.

$$1185800+\left(-768\right)^{2}+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -768 to the power of 2 and get 589824.

$$1185800+589824+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Add 1185800 and 589824 to get 1775624.

$$1775624+\left(81-855\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 81 to get -774.

$$1775624+\left(-774\right)^{2}+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -774 to the power of 2 and get 599076.

$$1775624+599076+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Add 1775624 and 599076 to get 2374700.

$$2374700+\left(80-855\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 80 to get -775.

$$2374700+\left(-775\right)^{2}+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -775 to the power of 2 and get 600625.

$$2374700+600625+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Add 2374700 and 600625 to get 2975325.

$$2975325+\left(79-855\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 79 to get -776.

$$2975325+\left(-776\right)^{2}+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Calculate -776 to the power of 2 and get 602176.

$$2975325+602176+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Add 2975325 and 602176 to get 3577501.

$$3577501+\left(87-855\right)^{2}+\left(93-855\right)^{2}$$

Subtract 855 from 87 to get -768.

$$3577501+\left(-768\right)^{2}+\left(93-855\right)^{2}$$

Calculate -768 to the power of 2 and get 589824.

$$3577501+589824+\left(93-855\right)^{2}$$

Add 3577501 and 589824 to get 4167325.

$$4167325+\left(93-855\right)^{2}$$

Subtract 855 from 93 to get -762.

$$4167325+\left(-762\right)^{2}$$

Calculate -762 to the power of 2 and get 580644.

$$4167325+580644$$

Add 4167325 and 580644 to get 4747969.

$$4747969$$

Factor

$$4747969$$