Finite Math Examples

${(2 - 8.95)}^{2} \cdot 35 + {(7 - 8.95)}^{2} \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1

Simplify each term.

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Step 1.1

Subtract $8.95$ from $2$ .

${(- 6.95)}^{2} \cdot 35 + {(7 - 8.95)}^{2} \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.2

Raise $- 6.95$ to the power of $2$ .

$48.3025 \cdot 35 + {(7 - 8.95)}^{2} \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.3

Multiply $48.3025$ by $35$ .

$1690.5875 + {(7 - 8.95)}^{2} \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.4

Subtract $8.95$ from $7$ .

$1690.5875 + {(- 1.95)}^{2} \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.5

Raise $- 1.95$ to the power of $2$ .

$1690.5875 + 3.8025 \cdot 25 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.6

Multiply $3.8025$ by $25$ .

$1690.5875 + 95.0625 + {(12 - 8.95)}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.7

Subtract $8.95$ from $12$ .

$1690.5875 + 95.0625 + {3.05}^{2} \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.8

Raise $3.05$ to the power of $2$ .

$1690.5875 + 95.0625 + 9.3025 \cdot 21 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.9

Multiply $9.3025$ by $21$ .

$1690.5875 + 95.0625 + 195.3525 + {(17 - 8.95)}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.10

Subtract $8.95$ from $17$ .

$1690.5875 + 95.0625 + 195.3525 + {8.05}^{2} \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.11

Raise $8.05$ to the power of $2$ .

$1690.5875 + 95.0625 + 195.3525 + 64.8025 \cdot 13 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.12

Multiply $64.8025$ by $13$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + {(22 - 8.95)}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.13

Subtract $8.95$ from $22$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + {13.05}^{2} \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.14

Raise $13.05$ to the power of $2$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 \cdot 1 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.15

Multiply $170.3025$ by $1$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + {(27 - 8.95)}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.16

Subtract $8.95$ from $27$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + {18.05}^{2} \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.17

Raise $18.05$ to the power of $2$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + 325.8025 \cdot 1 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.18

Multiply $325.8025$ by $1$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + 325.8025 + {(32 - 8.95)}^{2} \cdot 4$

Step 1.19

Subtract $8.95$ from $32$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + 325.8025 + {23.05}^{2} \cdot 4$

Step 1.20

Raise $23.05$ to the power of $2$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + 325.8025 + 531.3025 \cdot 4$

Step 1.21

Multiply $531.3025$ by $4$ .

$1690.5875 + 95.0625 + 195.3525 + 842.4325 + 170.3025 + 325.8025 + 2125.21$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $1690.5875$ and $95.0625$ .

$1785.65 + 195.3525 + 842.4325 + 170.3025 + 325.8025 + 2125.21$

Step 2.2

Add $1785.65$ and $195.3525$ .

$1981.0025 + 842.4325 + 170.3025 + 325.8025 + 2125.21$

Step 2.3

Add $1981.0025$ and $842.4325$ .

$2823.435 + 170.3025 + 325.8025 + 2125.21$

Step 2.4

Add $2823.435$ and $170.3025$ .

$2993.7375 + 325.8025 + 2125.21$

Step 2.5

Add $2993.7375$ and $325.8025$ .

$3319.54 + 2125.21$

Step 2.6

Add $3319.54$ and $2125.21$ .

$5444.75$