Precalculus Examples

[\begin{matrix} 2 & 1 4 & 1 \end{matrix}] + [\begin{matrix} - 3 & - 3 - 5 & - 3 \end{matrix}]

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

Step 1

Add the corresponding elements.

[\begin{matrix} 2 - 3 & 1 - 3 4 - 5 & 1 - 3 \end{matrix}]

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

Step 2

Simplify each element.

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Step 2.1

Subtract

3

$3$ from

2

$2$ .

[\begin{matrix} - 1 & 1 - 3 4 - 5 & 1 - 3 \end{matrix}]

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

Step 2.2

Subtract

3

$3$ from

1

$1$ .

[\begin{matrix} - 1 & - 2 4 - 5 & 1 - 3 \end{matrix}]

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

Step 2.3

Subtract

5

$5$ from

4

$4$ .

[\begin{matrix} - 1 & - 2 - 1 & 1 - 3 \end{matrix}]

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

Step 2.4

Subtract

3

$3$ from

1

$1$ .

[\begin{matrix} - 1 & - 2 - 1 & - 2 \end{matrix}]

$[\begin{array}{c} - 1 & - 2 \\ - 1 & - 2 \end{array}]$

[\begin{matrix} - 1 & - 2 - 1 & - 2 \end{matrix}]

$[\begin{array}{c} - 1 & - 2 \\ - 1 & - 2 \end{array}]$

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