Algebra Examples

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

Step 1

Subtract the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Subtract $3$ from $- 5$ .

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

Step 2.2

Add $- 3$ and $1$ .

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

Step 2.3

Add $5$ and $5$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 2 + 2 & 4 - 3 & 5 + 3 \\ 0 - 4 & 4 - 4 & - 5 - 4 \end{array}]$

Step 2.4

Add $2$ and $2$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 4 - 3 & 5 + 3 \\ 0 - 4 & 4 - 4 & - 5 - 4 \end{array}]$

Step 2.5

Subtract $3$ from $4$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 1 & 5 + 3 \\ 0 - 4 & 4 - 4 & - 5 - 4 \end{array}]$

Step 2.6

Add $5$ and $3$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 1 & 8 \\ 0 - 4 & 4 - 4 & - 5 - 4 \end{array}]$

Step 2.7

Subtract $4$ from $0$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 1 & 8 \\ - 4 & 4 - 4 & - 5 - 4 \end{array}]$

Step 2.8

Subtract $4$ from $4$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 1 & 8 \\ - 4 & 0 & - 5 - 4 \end{array}]$

Step 2.9

Subtract $4$ from $- 5$ .

$[\begin{array}{c} - 8 & - 2 & 10 \\ 4 & 1 & 8 \\ - 4 & 0 & - 9 \end{array}]$