Algebra Examples

$[\begin{array}{c} 52 & 18 & 21 \\ 64 & 10 & 6 \\ 33 & 9 & 15 \end{array}] - [\begin{array}{c} 41 & 27 & 9 \\ 67 & 15 & 17 \\ 48 & 11 & 6 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 52 - 41 & 18 - 27 & 21 - 9 \\ 64 - 67 & 10 - 15 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $41$ from $52$ .

$[\begin{array}{c} 11 & 18 - 27 & 21 - 9 \\ 64 - 67 & 10 - 15 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.2

Subtract $27$ from $18$ .

$[\begin{array}{c} 11 & - 9 & 21 - 9 \\ 64 - 67 & 10 - 15 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.3

Subtract $9$ from $21$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ 64 - 67 & 10 - 15 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.4

Subtract $67$ from $64$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & 10 - 15 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.5

Subtract $15$ from $10$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & - 5 & 6 - 17 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.6

Subtract $17$ from $6$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & - 5 & - 11 \\ 33 - 48 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.7

Subtract $48$ from $33$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & - 5 & - 11 \\ - 15 & 9 - 11 & 15 - 6 \end{array}]$

Step 2.8

Subtract $11$ from $9$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & - 5 & - 11 \\ - 15 & - 2 & 15 - 6 \end{array}]$

Step 2.9

Subtract $6$ from $15$ .

$[\begin{array}{c} 11 & - 9 & 12 \\ - 3 & - 5 & - 11 \\ - 15 & - 2 & 9 \end{array}]$