Matemática discreta Exemplos

$[\begin{array}{c} a + 2 & 9 z + 1 & 12 m \\ 8 k & 2 & 0 \end{array}] + [\begin{array}{c} 12 a & 10 z & 3 m \\ 9 k & 5 & 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 1

Adicione os elementos correspondentes.

$[\begin{array}{c} a + 2 + 12 a & 9 z + 1 + 10 z & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2

Simplify each element.

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Etapa 2.1

Some $a$ e $12 a$ .

$[\begin{array}{c} 13 a + 2 & 9 z + 1 + 10 z & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2.2

Some $9 z$ e $10 z$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2.3

Some $12 m$ e $3 m$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2.4

Some $8 k$ e $9 k$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2.5

Some $2$ e $5$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 7 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 2.6

Some $0$ e $5$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 7 & 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Etapa 3

Adicione os elementos correspondentes.

$[\begin{array}{c} 13 a + 2 + 28 & 19 z + 1 - 37 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

Etapa 4

Simplify each element.

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Etapa 4.1

Some $2$ e $28$ .

$[\begin{array}{c} 13 a + 30 & 19 z + 1 - 37 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

Etapa 4.2

Subtraia $37$ de $1$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

Etapa 4.3

Some $7$ e $7$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 14 & 5 + 5 \end{array}]$

Etapa 4.4

Some $5$ e $5$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 14 & 10 \end{array}]$