Precalculus Examples

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

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $- 3$ and $5$ .

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

Step 2.2

Subtract $6$ from $- 4$ .

$[\begin{array}{c} 2 \\ - 10 \\ 2 + 4 \\ - 5 + 4 \end{array}] - [\begin{array}{c} - 5 \\ 6 \\ - 2 \\ - 2 \end{array}]$

Step 2.3

Add $2$ and $4$ .

$[\begin{array}{c} 2 \\ - 10 \\ 6 \\ - 5 + 4 \end{array}] - [\begin{array}{c} - 5 \\ 6 \\ - 2 \\ - 2 \end{array}]$

Step 2.4

Add $- 5$ and $4$ .

$[\begin{array}{c} 2 \\ - 10 \\ 6 \\ - 1 \end{array}] - [\begin{array}{c} - 5 \\ 6 \\ - 2 \\ - 2 \end{array}]$

Step 3

Subtract the corresponding elements.

$[\begin{array}{c} 2 + 5 \\ - 10 - 6 \\ 6 + 2 \\ - 1 + 2 \end{array}]$

Step 4

Simplify each element.

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Step 4.1

Add $2$ and $5$ .

$[\begin{array}{c} 7 \\ - 10 - 6 \\ 6 + 2 \\ - 1 + 2 \end{array}]$

Step 4.2

Subtract $6$ from $- 10$ .

$[\begin{array}{c} 7 \\ - 16 \\ 6 + 2 \\ - 1 + 2 \end{array}]$

Step 4.3

Add $6$ and $2$ .

$[\begin{array}{c} 7 \\ - 16 \\ 8 \\ - 1 + 2 \end{array}]$

Step 4.4

Add $- 1$ and $2$ .

$[\begin{array}{c} 7 \\ - 16 \\ 8 \\ 1 \end{array}]$