Algebra Examples

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

Step 1

Multiply $3$ by each element of the matrix.

$[\begin{array}{c} 3 (2 x) & 3 (- 4 y) \\ 3 (x + 1) & 3 (3 y - 2) \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $2$ by $3$ .

$[\begin{array}{c} 6 x & 3 (- 4 y) \\ 3 (x + 1) & 3 (3 y - 2) \end{array}]$

Step 2.2

Multiply $- 4$ by $3$ .

$[\begin{array}{c} 6 x & - 12 y \\ 3 (x + 1) & 3 (3 y - 2) \end{array}]$

Step 2.3

Apply the distributive property.

$[\begin{array}{c} 6 x & - 12 y \\ 3 x + 3 \cdot 1 & 3 (3 y - 2) \end{array}]$

Step 2.4

Multiply $3$ by $1$ .

$[\begin{array}{c} 6 x & - 12 y \\ 3 x + 3 & 3 (3 y - 2) \end{array}]$

Step 2.5

Apply the distributive property.

$[\begin{array}{c} 6 x & - 12 y \\ 3 x + 3 & 3 (3 y) + 3 \cdot - 2 \end{array}]$

Step 2.6

Multiply $3$ by $3$ .

$[\begin{array}{c} 6 x & - 12 y \\ 3 x + 3 & 9 y + 3 \cdot - 2 \end{array}]$

Step 2.7

Multiply $3$ by $- 2$ .

$[\begin{array}{c} 6 x & - 12 y \\ 3 x + 3 & 9 y - 6 \end{array}]$