Simplify (28-4i)-(10-30i)

$(28 - 4 i) - (10 - 30 i)$

Step 1

Simplify each term.

Apply the distributive property.

$28 - 4 i - 1 \cdot 10 - (- 30 i)$

Multiply $- 1$ by $10$ .

$28 - 4 i - 10 - (- 30 i)$

Multiply $- 30$ by $- 1$ .

$28 - 4 i - 10 + 30 i$

$28 - 4 i - 10 + 30 i$

Step 2

Simplify by adding terms.

Subtract $10$ from $28$ .

$18 - 4 i + 30 i$

Add $- 4 i$ and $30 i$ .

$18 + 26 i$

$18 + 26 i$

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