Finite Mathematik Beispiele

$v (\frac{{(28 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14})$

Schritt 1

Vereinfache den Zähler.

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Schritt 1.1

Subtrahiere $27.2$ von $28$ .

$v \frac{{0.8}^{2} + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.2

Potenziere $0.8$ mit $2$ .

$v \frac{0.64 + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.3

Subtrahiere $27.2$ von $31$ .

$v \frac{0.64 + {3.8}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.4

Potenziere $3.8$ mit $2$ .

$v \frac{0.64 + 14.44 + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.5

Subtrahiere $27.2$ von $24$ .

$v \frac{0.64 + 14.44 + {(- 3.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.6

Potenziere $- 3.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.7

Subtrahiere $27.2$ von $17$ .

$v \frac{0.64 + 14.44 + 10.24 + {(- 10.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.8

Potenziere $- 10.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.9

Subtrahiere $27.2$ von $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + {10.8}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.10

Potenziere $10.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.11

Subtrahiere $27.2$ von $23$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + {(- 4.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.12

Potenziere $- 4.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.13

Subtrahiere $27.2$ von $12$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + {(- 15.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.14

Potenziere $- 15.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.15

Subtrahiere $27.2$ von $13$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + {(- 14.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.16

Potenziere $- 14.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.17

Subtrahiere $27.2$ von $31$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + {3.8}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.18

Potenziere $3.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.19

Subtrahiere $27.2$ von $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + {10.8}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.20

Potenziere $10.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.21

Subtrahiere $27.2$ von $17$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + {(- 10.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.22

Potenziere $- 10.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.23

Subtrahiere $27.2$ von $31$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + {3.8}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.24

Potenziere $3.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.25

Subtrahiere $27.2$ von $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + {10.8}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.26

Potenziere $10.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.27

Subtrahiere $27.2$ von $27$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + {(- 0.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Schritt 1.28

Potenziere $- 0.2$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + {(40 - 27.2)}^{2}}{14}$

Schritt 1.29

Subtrahiere $27.2$ von $40$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + {12.8}^{2}}{14}$

Schritt 1.30

Potenziere $12.8$ mit $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.31

Addiere $0.64$ und $14.44$ .

$v \frac{15.08 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.32

Addiere $15.08$ und $10.24$ .

$v \frac{25.32 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.33

Addiere $25.32$ und $104.04$ .

$v \frac{129.36 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.34

Addiere $129.36$ und $116.64$ .

$v \frac{246 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.35

Addiere $246$ und $17.64$ .

$v \frac{263.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.36

Addiere $263.64$ und $231.04$ .

$v \frac{494.68 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.37

Addiere $494.68$ und $201.64$ .

$v \frac{696.32 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.38

Addiere $696.32$ und $14.44$ .

$v \frac{710.76 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.39

Addiere $710.76$ und $116.64$ .

$v \frac{827.4 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.40

Addiere $827.4$ und $104.04$ .

$v \frac{931.44 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.41

Addiere $931.44$ und $14.44$ .

$v \frac{945.88 + 116.64 + 0.04 + 163.84}{14}$

Schritt 1.42

Addiere $945.88$ und $116.64$ .

$v \frac{1062.52 + 0.04 + 163.84}{14}$

Schritt 1.43

Addiere $1062.52$ und $0.04$ .

$v \frac{1062.56 + 163.84}{14}$

Schritt 1.44

Addiere $1062.56$ und $163.84$ .

$v \frac{1226.4}{14}$

Schritt 2

Vereinfache den Ausdruck.

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Schritt 2.1

Dividiere $1226.4$ durch $14$ .

$v \cdot 87.6$

Schritt 2.2

Bringe $87.6$ auf die linke Seite von $v$ .

$87.6 v$