Basic Math Examples

${(5 - 2)}^{2} + {(3 - 2)}^{2} + {(4 - 2.5)}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Subtract $2$ from $5$ .

$3^{2} + {(3 - 2)}^{2} + {(4 - 2.5)}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.2

Raise $3$ to the power of $2$ .

$9 + {(3 - 2)}^{2} + {(4 - 2.5)}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.3

Subtract $2$ from $3$ .

$9 + 1^{2} + {(4 - 2.5)}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.4

One to any power is one.

$9 + 1 + {(4 - 2.5)}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.5

Subtract $2.5$ from $4$ .

$9 + 1 + {1.5}^{2} + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.6

Raise $1.5$ to the power of $2$ .

$9 + 1 + 2.25 + {(1 - 2)}^{2} + {(2 - 2.5)}^{2}$

Step 1.7

Subtract $2$ from $1$ .

$9 + 1 + 2.25 + {(- 1)}^{2} + {(2 - 2.5)}^{2}$

Step 1.8

Raise $- 1$ to the power of $2$ .

$9 + 1 + 2.25 + 1 + {(2 - 2.5)}^{2}$

Step 1.9

Subtract $2.5$ from $2$ .

$9 + 1 + 2.25 + 1 + {(- 0.5)}^{2}$

Step 1.10

Raise $- 0.5$ to the power of $2$ .

$9 + 1 + 2.25 + 1 + 0.25$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $9$ and $1$ .

$10 + 2.25 + 1 + 0.25$

Step 2.2

Add $10$ and $2.25$ .

$12.25 + 1 + 0.25$

Step 2.3

Add $12.25$ and $1$ .

$13.25 + 0.25$

Step 2.4

Add $13.25$ and $0.25$ .

$13.5$