Precalculus Examples

$[\begin{array}{c} 2 & 6 & 2 \\ 2 & - 6 & 5 \end{array}] + [\begin{array}{c} 4 & 3 & - 2 \\ - 1 & - 2 & - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} 2 + 4 & 6 + 3 & 2 - 2 \\ 2 - 1 & - 6 - 2 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $2$ and $4$ .

$[\begin{array}{c} 6 & 6 + 3 & 2 - 2 \\ 2 - 1 & - 6 - 2 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2.2

Add $6$ and $3$ .

$[\begin{array}{c} 6 & 9 & 2 - 2 \\ 2 - 1 & - 6 - 2 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2.3

Subtract $2$ from $2$ .

$[\begin{array}{c} 6 & 9 & 0 \\ 2 - 1 & - 6 - 2 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2.4

Subtract $1$ from $2$ .

$[\begin{array}{c} 6 & 9 & 0 \\ 1 & - 6 - 2 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2.5

Subtract $2$ from $- 6$ .

$[\begin{array}{c} 6 & 9 & 0 \\ 1 & - 8 & 5 - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 2.6

Subtract $6$ from $5$ .

$[\begin{array}{c} 6 & 9 & 0 \\ 1 & - 8 & - 1 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$

Step 3

Subtract the corresponding elements.

$[\begin{array}{c} 6 - 3 & 9 - 4 & 0 - 4 \\ 1 + 5 & - 8 + 2 & - 1 - 2 \end{array}]$

Step 4

Simplify each element.

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Step 4.1

Subtract $3$ from $6$ .

$[\begin{array}{c} 3 & 9 - 4 & 0 - 4 \\ 1 + 5 & - 8 + 2 & - 1 - 2 \end{array}]$

Step 4.2

Subtract $4$ from $9$ .

$[\begin{array}{c} 3 & 5 & 0 - 4 \\ 1 + 5 & - 8 + 2 & - 1 - 2 \end{array}]$

Step 4.3

Subtract $4$ from $0$ .

$[\begin{array}{c} 3 & 5 & - 4 \\ 1 + 5 & - 8 + 2 & - 1 - 2 \end{array}]$

Step 4.4

Add $1$ and $5$ .

$[\begin{array}{c} 3 & 5 & - 4 \\ 6 & - 8 + 2 & - 1 - 2 \end{array}]$

Step 4.5

Add $- 8$ and $2$ .

$[\begin{array}{c} 3 & 5 & - 4 \\ 6 & - 6 & - 1 - 2 \end{array}]$

Step 4.6

Subtract $2$ from $- 1$ .

$[\begin{array}{c} 3 & 5 & - 4 \\ 6 & - 6 & - 3 \end{array}]$