Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $8$ and $5$ .

$[\begin{array}{c} 13 & - 1 - 8 & - 7 - 5 \\ 1 - 2 & - 9 + 3 & 9 + 9 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.2

Subtract $8$ from $- 1$ .

$[\begin{array}{c} 13 & - 9 & - 7 - 5 \\ 1 - 2 & - 9 + 3 & 9 + 9 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.3

Subtract $5$ from $- 7$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ 1 - 2 & - 9 + 3 & 9 + 9 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.4

Subtract $2$ from $1$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 9 + 3 & 9 + 9 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.5

Add $- 9$ and $3$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 6 & 9 + 9 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.6

Add $9$ and $9$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 6 & 18 \\ 0 + 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.7

Add $0$ and $1$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 6 & 18 \\ 1 & 3 - 4 & - 6 + 8 \end{array}]$

Step 2.8

Subtract $4$ from $3$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 6 & 18 \\ 1 & - 1 & - 6 + 8 \end{array}]$

Step 2.9

Add $- 6$ and $8$ .

$[\begin{array}{c} 13 & - 9 & - 12 \\ - 1 & - 6 & 18 \\ 1 & - 1 & 2 \end{array}]$