Precalculus Examples

$[\begin{array}{c} - 5 & 3 & 8 \\ 3 & 6 & - 5 \\ 5 & - 9 & 0 \\ 7 & 3 & 4 \end{array}] - [\begin{array}{c} - 7 & - 8 & - 5 \\ 7 & 9 & 2 \\ 2 & 5 & - 7 \\ 2 & 8 & - 7 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 5 + 7 & 3 + 8 & 8 + 5 \\ 3 - 7 & 6 - 9 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $- 5$ and $7$ .

$[\begin{array}{c} 2 & 3 + 8 & 8 + 5 \\ 3 - 7 & 6 - 9 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.2

Add $3$ and $8$ .

$[\begin{array}{c} 2 & 11 & 8 + 5 \\ 3 - 7 & 6 - 9 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.3

Add $8$ and $5$ .

$[\begin{array}{c} 2 & 11 & 13 \\ 3 - 7 & 6 - 9 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.4

Subtract $7$ from $3$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & 6 - 9 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.5

Subtract $9$ from $6$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 5 - 2 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.6

Subtract $2$ from $- 5$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 5 - 2 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.7

Subtract $2$ from $5$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 9 - 5 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.8

Subtract $5$ from $- 9$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 14 & 0 + 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.9

Add $0$ and $7$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 14 & 7 \\ 7 - 2 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.10

Subtract $2$ from $7$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 14 & 7 \\ 5 & 3 - 8 & 4 + 7 \end{array}]$

Step 2.11

Subtract $8$ from $3$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 14 & 7 \\ 5 & - 5 & 4 + 7 \end{array}]$

Step 2.12

Add $4$ and $7$ .

$[\begin{array}{c} 2 & 11 & 13 \\ - 4 & - 3 & - 7 \\ 3 & - 14 & 7 \\ 5 & - 5 & 11 \end{array}]$