Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $7$ from $2$ .

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

Step 2.2

Subtract $6$ from $- 6$ .

$[\begin{array}{c} - 5 & - 12 & 3 - 2 \\ 4 + 5 & - 8 - 0 & - 2 + 3 \\ - 5 - 4 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.3

Subtract $2$ from $3$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 4 + 5 & - 8 - 0 & - 2 + 3 \\ - 5 - 4 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.4

Add $4$ and $5$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 9 & - 8 - 0 & - 2 + 3 \\ - 5 - 4 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.5

Subtract $0$ from $- 8$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 9 & - 8 & - 2 + 3 \\ - 5 - 4 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.6

Add $- 2$ and $3$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 9 & - 8 & 1 \\ - 5 - 4 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.7

Subtract $4$ from $- 5$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 9 & - 8 & 1 \\ - 9 & 5 - 7 & 6 + 5 \end{array}]$

Step 2.8

Subtract $7$ from $5$ .

$[\begin{array}{c} - 5 & - 12 & 1 \\ 9 & - 8 & 1 \\ - 9 & - 2 & 6 + 5 \end{array}]$

Step 2.9

Add $6$ and $5$ .

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