Precalculus Examples

$[\begin{array}{c} 3 & 5 & 8 \\ 0 & 4 & - 1 \\ 3 & 1 & 0 \end{array}] - [\begin{array}{c} - 2 & 3 & - 2 \\ - 4 & 2 & 3 \\ 7 & - 8 & 4 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 3 + 2 & 5 - 3 & 8 + 2 \\ 0 + 4 & 4 - 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $3$ and $2$ .

$[\begin{array}{c} 5 & 5 - 3 & 8 + 2 \\ 0 + 4 & 4 - 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.2

Subtract $3$ from $5$ .

$[\begin{array}{c} 5 & 2 & 8 + 2 \\ 0 + 4 & 4 - 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.3

Add $8$ and $2$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 0 + 4 & 4 - 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.4

Add $0$ and $4$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 4 - 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.5

Subtract $2$ from $4$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 2 & - 1 - 3 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.6

Subtract $3$ from $- 1$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 2 & - 4 \\ 3 - 7 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.7

Subtract $7$ from $3$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 2 & - 4 \\ - 4 & 1 + 8 & 0 - 4 \end{array}]$

Step 2.8

Add $1$ and $8$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 2 & - 4 \\ - 4 & 9 & 0 - 4 \end{array}]$

Step 2.9

Subtract $4$ from $0$ .

$[\begin{array}{c} 5 & 2 & 10 \\ 4 & 2 & - 4 \\ - 4 & 9 & - 4 \end{array}]$