Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $3$ from $4$ .

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

Step 2.2

Add $5$ and $12$ .

$[\begin{array}{c} 1 & 17 \\ - 1 + 6 & 8 - 5 \\ - 7 - 9 & 6 + 2 \end{array}]$

Step 2.3

Add $- 1$ and $6$ .

$[\begin{array}{c} 1 & 17 \\ 5 & 8 - 5 \\ - 7 - 9 & 6 + 2 \end{array}]$

Step 2.4

Subtract $5$ from $8$ .

$[\begin{array}{c} 1 & 17 \\ 5 & 3 \\ - 7 - 9 & 6 + 2 \end{array}]$

Step 2.5

Subtract $9$ from $- 7$ .

$[\begin{array}{c} 1 & 17 \\ 5 & 3 \\ - 16 & 6 + 2 \end{array}]$

Step 2.6

Add $6$ and $2$ .

$[\begin{array}{c} 1 & 17 \\ 5 & 3 \\ - 16 & 8 \end{array}]$