Finite Math Examples

${(2 - 6.2)}^{2} \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1

Simplify each term.

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Step 1.1

Subtract $6.2$ from $2$ .

${(- 4.2)}^{2} \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.2

Raise $- 4.2$ to the power of $2$ .

$17.64 \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.3

Multiply $17.64$ by $6$ .

$105.84 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.4

Subtract $6.2$ from $5$ .

$105.84 + {(- 1.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.5

Raise $- 1.2$ to the power of $2$ .

$105.84 + 1.44 \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.6

Multiply $1.44$ by $5$ .

$105.84 + 7.2 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.7

Subtract $6.2$ from $8$ .

$105.84 + 7.2 + {1.8}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.8

Raise $1.8$ to the power of $2$ .

$105.84 + 7.2 + 3.24 \cdot 4 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.9

Multiply $3.24$ by $4$ .

$105.84 + 7.2 + 12.96 + {(11 - 6.2)}^{2} \cdot 5$

Step 1.10

Subtract $6.2$ from $11$ .

$105.84 + 7.2 + 12.96 + {4.8}^{2} \cdot 5$

Step 1.11

Raise $4.8$ to the power of $2$ .

$105.84 + 7.2 + 12.96 + 23.04 \cdot 5$

Step 1.12

Multiply $23.04$ by $5$ .

$105.84 + 7.2 + 12.96 + 115.2$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $105.84$ and $7.2$ .

$113.04 + 12.96 + 115.2$

Step 2.2

Add $113.04$ and $12.96$ .

$126 + 115.2$

Step 2.3

Add $126$ and $115.2$ .

$241.2$