Simplify (5+14i)-(10-2i)

$(5 + 14 i) - (10 - 2 i)$

Step 1

Simplify each term.

Apply the distributive property.

$5 + 14 i - 1 \cdot 10 - (- 2 i)$

Multiply $- 1$ by $10$ .

$5 + 14 i - 10 - (- 2 i)$

Multiply $- 2$ by $- 1$ .

$5 + 14 i - 10 + 2 i$

$5 + 14 i - 10 + 2 i$

Step 2

Simplify by adding terms.

Subtract $10$ from $5$ .

$- 5 + 14 i + 2 i$

Add $14 i$ and $2 i$ .

$- 5 + 16 i$

$- 5 + 16 i$

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