Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $5$ from $4$ .

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

Step 2.2

Subtract $6$ from $2$ .

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

Step 2.3

Subtract $4$ from $5$ .

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

Step 2.4

Add $7$ and $6$ .

$[\begin{array}{c} - 1 & - 4 \\ 1 & 13 \\ 2 - 3 & - 2 + 3 \end{array}]$

Step 2.5

Subtract $3$ from $2$ .

$[\begin{array}{c} - 1 & - 4 \\ 1 & 13 \\ - 1 & - 2 + 3 \end{array}]$

Step 2.6

Add $- 2$ and $3$ .

$[\begin{array}{c} - 1 & - 4 \\ 1 & 13 \\ - 1 & 1 \end{array}]$