Matemática discreta Exemplos

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

Etapa 1

Simplifique o numerador.

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Etapa 1.1

Subtraia $27.2$ de $28$ .

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

Etapa 1.2

Eleve $0.8$ à potência de $2$ .

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

Etapa 1.3

Subtraia $27.2$ de $31$ .

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

Etapa 1.4

Eleve $3.8$ à potência de $2$ .

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

Etapa 1.5

Subtraia $27.2$ de $24$ .

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

Etapa 1.6

Eleve $- 3.2$ à potência de $2$ .

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

Etapa 1.7

Subtraia $27.2$ de $17$ .

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

Etapa 1.8

Eleve $- 10.2$ à potência de $2$ .

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

Etapa 1.9

Subtraia $27.2$ de $38$ .

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

Etapa 1.10

Eleve $10.8$ à potência de $2$ .

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

Etapa 1.11

Subtraia $27.2$ de $23$ .

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

Etapa 1.12

Eleve $- 4.2$ à potência de $2$ .

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

Etapa 1.13

Subtraia $27.2$ de $12$ .

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

Etapa 1.14

Eleve $- 15.2$ à potência de $2$ .

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

Etapa 1.15

Subtraia $27.2$ de $13$ .

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

Etapa 1.16

Eleve $- 14.2$ à potência de $2$ .

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

Etapa 1.17

Subtraia $27.2$ de $31$ .

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

Etapa 1.18

Eleve $3.8$ à potência de $2$ .

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

Etapa 1.19

Subtraia $27.2$ de $38$ .

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

Etapa 1.20

Eleve $10.8$ à potência de $2$ .

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

Etapa 1.21

Subtraia $27.2$ de $17$ .

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

Etapa 1.22

Eleve $- 10.2$ à potência de $2$ .

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

Etapa 1.23

Subtraia $27.2$ de $31$ .

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

Etapa 1.24

Eleve $3.8$ à potência de $2$ .

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

Etapa 1.25

Subtraia $27.2$ de $38$ .

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

Etapa 1.26

Eleve $10.8$ à potência de $2$ .

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

Etapa 1.27

Subtraia $27.2$ de $27$ .

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

Etapa 1.28

Eleve $- 0.2$ à potência de $2$ .

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

Etapa 1.29

Subtraia $27.2$ de $40$ .

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

Etapa 1.30

Eleve $12.8$ à potência de $2$ .

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

Etapa 1.31

Some $0.64$ e $14.44$ .

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

Etapa 1.32

Some $15.08$ e $10.24$ .

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

Etapa 1.33

Some $25.32$ e $104.04$ .

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

Etapa 1.34

Some $129.36$ e $116.64$ .

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

Etapa 1.35

Some $246$ e $17.64$ .

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

Etapa 1.36

Some $263.64$ e $231.04$ .

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

Etapa 1.37

Some $494.68$ e $201.64$ .

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

Etapa 1.38

Some $696.32$ e $14.44$ .

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

Etapa 1.39

Some $710.76$ e $116.64$ .

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

Etapa 1.40

Some $827.4$ e $104.04$ .

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

Etapa 1.41

Some $931.44$ e $14.44$ .

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

Etapa 1.42

Some $945.88$ e $116.64$ .

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

Etapa 1.43

Some $1062.52$ e $0.04$ .

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

Etapa 1.44

Some $1062.56$ e $163.84$ .

$v \frac{1226.4}{14}$

Etapa 2

Simplifique a expressão.

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Etapa 2.1

Divida $1226.4$ por $14$ .

$v \cdot 87.6$

Etapa 2.2

Mova $87.6$ para a esquerda de $v$ .

$87.6 v$