Precalculus Examples

$[\begin{array}{c} 8 & 9 & - 2 \\ 1 & 11 & - 1 \\ 2 & 12 & 3 \end{array}] - [\begin{array}{c} - 3 & 9 & 5 \\ 4 & 2 & - 2 \\ - 7 & - 1 & 4 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 8 + 3 & 9 - 9 & - 2 - 5 \\ 1 - 4 & 11 - 2 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $8$ and $3$ .

$[\begin{array}{c} 11 & 9 - 9 & - 2 - 5 \\ 1 - 4 & 11 - 2 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.2

Subtract $9$ from $9$ .

$[\begin{array}{c} 11 & 0 & - 2 - 5 \\ 1 - 4 & 11 - 2 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.3

Subtract $5$ from $- 2$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ 1 - 4 & 11 - 2 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.4

Subtract $4$ from $1$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 11 - 2 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.5

Subtract $2$ from $11$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 9 & - 1 + 2 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.6

Add $- 1$ and $2$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 9 & 1 \\ 2 + 7 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.7

Add $2$ and $7$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 9 & 1 \\ 9 & 12 + 1 & 3 - 4 \end{array}]$

Step 2.8

Add $12$ and $1$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 9 & 1 \\ 9 & 13 & 3 - 4 \end{array}]$

Step 2.9

Subtract $4$ from $3$ .

$[\begin{array}{c} 11 & 0 & - 7 \\ - 3 & 9 & 1 \\ 9 & 13 & - 1 \end{array}]$