Simplify 4(3,5)-2(7,-2)

$4 (3, 5) - 2 (7, - 2)$

Step 1

Multiply $4$ by $3$ .

$4 (12, 5) - 2 (7, - 2)$

Step 2

Multiply $4$ by $5$ .

$4 (12, 20) - 2 (7, - 2)$

Step 3

Multiply $- 2$ by $7$ .

$4 (12, 20) - 2 (- 14, - 2)$

Step 4

Multiply $- 2$ by $- 2$ .

$4 (12, 20) - 2 (- 14, 4)$

Step 5

Combine each component of the vectors.

$(12 - (- 14), 20 - (4))$

Step 6

Multiply $- 1$ by $- 14$ .

$(12 + 14, 20 - (4))$

Step 7

Add $12$ and $14$ .

$(26, 20 - (4))$

Step 8

Multiply $- 1$ by $4$ .

$(26, 20 - 4)$

Step 9

Subtract $4$ from $20$ .

$(26, 16)$

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