Algebra Examples

$[\begin{array}{c} - 3 & 4 & a \\ 11 & 3 b & 7 \\ 0 & - 3 c & - 2 \end{array}] - [\begin{array}{c} 12 & - 10 & - 3 a \\ 15 & - 2 b & 30 \\ - 7 & 3 c & - 9 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} - 3 - 12 & 4 + 10 & a + 3 a \\ 11 - 15 & 3 b + 2 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $12$ from $- 3$ .

$[\begin{array}{c} - 15 & 4 + 10 & a + 3 a \\ 11 - 15 & 3 b + 2 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.2

Add $4$ and $10$ .

$[\begin{array}{c} - 15 & 14 & a + 3 a \\ 11 - 15 & 3 b + 2 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.3

Add $a$ and $3 a$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ 11 - 15 & 3 b + 2 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.4

Subtract $15$ from $11$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 3 b + 2 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.5

Add $3 b$ and $2 b$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 5 b & 7 - 30 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.6

Subtract $30$ from $7$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 5 b & - 23 \\ 0 + 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.7

Add $0$ and $7$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 5 b & - 23 \\ 7 & - 3 c - 3 c & - 2 + 9 \end{array}]$

Step 2.8

Subtract $3 c$ from $- 3 c$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 5 b & - 23 \\ 7 & - 6 c & - 2 + 9 \end{array}]$

Step 2.9

Add $- 2$ and $9$ .

$[\begin{array}{c} - 15 & 14 & 4 a \\ - 4 & 5 b & - 23 \\ 7 & - 6 c & 7 \end{array}]$