Simplify (6i-5)-(2-3i)

$(6 i - 5) - (2 - 3 i)$

Step 1

Simplify each term.

Apply the distributive property.

$6 i - 5 - 1 \cdot 2 - (- 3 i)$

Multiply $- 1$ by $2$ .

$6 i - 5 - 2 - (- 3 i)$

Multiply $- 3$ by $- 1$ .

$6 i - 5 - 2 + 3 i$

$6 i - 5 - 2 + 3 i$

Step 2

Simplify by adding terms.

Add $6 i$ and $3 i$ .

$- 5 - 2 + 9 i$

Subtract $2$ from $- 5$ .

$- 7 + 9 i$

$- 7 + 9 i$

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