Algebra Examples

$[\begin{array}{c} - 4 & 6 & 7 \\ 3 & - 5 & 12 \\ 7 & - 11 & 14 \end{array}] - [\begin{array}{c} 6 & 10 & - 4 \\ - 5 & 6 & - 8 \\ 3 & 11 & 7 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 4 - 6 & 6 - 10 & 7 + 4 \\ 3 + 5 & - 5 - 6 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $6$ from $- 4$ .

$[\begin{array}{c} - 10 & 6 - 10 & 7 + 4 \\ 3 + 5 & - 5 - 6 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.2

Subtract $10$ from $6$ .

$[\begin{array}{c} - 10 & - 4 & 7 + 4 \\ 3 + 5 & - 5 - 6 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.3

Add $7$ and $4$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 3 + 5 & - 5 - 6 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.4

Add $3$ and $5$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 5 - 6 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.5

Subtract $6$ from $- 5$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 11 & 12 + 8 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.6

Add $12$ and $8$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 11 & 20 \\ 7 - 3 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.7

Subtract $3$ from $7$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 11 & 20 \\ 4 & - 11 - 11 & 14 - 7 \end{array}]$

Step 2.8

Subtract $11$ from $- 11$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 11 & 20 \\ 4 & - 22 & 14 - 7 \end{array}]$

Step 2.9

Subtract $7$ from $14$ .

$[\begin{array}{c} - 10 & - 4 & 11 \\ 8 & - 11 & 20 \\ 4 & - 22 & 7 \end{array}]$