Algebra Examples

$[\begin{array}{c} - 4 & 0 & 3 \\ - 9 & 1 & 5 \\ 0 & - 2 & 6 \end{array}] - [\begin{array}{c} 3 & 7 & - 1 \\ 6 & 0 & - 2 \\ 4 & 0 & - 1 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 4 - 3 & 0 - 7 & 3 + 1 \\ - 9 - 6 & 1 - 0 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $3$ from $- 4$ .

$[\begin{array}{c} - 7 & 0 - 7 & 3 + 1 \\ - 9 - 6 & 1 - 0 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.2

Subtract $7$ from $0$ .

$[\begin{array}{c} - 7 & - 7 & 3 + 1 \\ - 9 - 6 & 1 - 0 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.3

Add $3$ and $1$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 9 - 6 & 1 - 0 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.4

Subtract $6$ from $- 9$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 - 0 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.5

Subtract $0$ from $1$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 & 5 + 2 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.6

Add $5$ and $2$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 & 7 \\ 0 - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.7

Subtract $4$ from $0$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 & 7 \\ - 4 & - 2 - 0 & 6 + 1 \end{array}]$

Step 2.8

Subtract $0$ from $- 2$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 & 7 \\ - 4 & - 2 & 6 + 1 \end{array}]$

Step 2.9

Add $6$ and $1$ .

$[\begin{array}{c} - 7 & - 7 & 4 \\ - 15 & 1 & 7 \\ - 4 & - 2 & 7 \end{array}]$