Simplify (5-i)-(3-2i)

$(5 - i) - (3 - 2 i)$

Step 1

Simplify each term.

Apply the distributive property.

$5 - i - 1 \cdot 3 - (- 2 i)$

Multiply $- 1$ by $3$ .

$5 - i - 3 - (- 2 i)$

Multiply $- 2$ by $- 1$ .

$5 - i - 3 + 2 i$

$5 - i - 3 + 2 i$

Step 2

Simplify by adding terms.

Subtract $3$ from $5$ .

$2 - i + 2 i$

Add $- i$ and $2 i$ .

$2 + i$

$2 + i$

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