Simplify (5+12i)-(9i^2-6i)

$(5 + 12 i) - (9 i^{2} - 6 i)$

Simplify each term.

Simplify each term.

Rewrite $i^{2}$ as $- 1$ .

$5 + 12 i - (9 \cdot - 1 - 6 i)$

Multiply $9$ by $- 1$ .

$5 + 12 i - (- 9 - 6 i)$

$5 + 12 i - (- 9 - 6 i)$

Apply the distributive property.

$5 + 12 i - - 9 - (- 6 i)$

Multiply $- 1$ by $- 9$ .

$5 + 12 i + 9 - (- 6 i)$

Multiply $- 6$ by $- 1$ .

$5 + 12 i + 9 + 6 i$

$5 + 12 i + 9 + 6 i$

Simplify by adding terms.

Add $5$ and $9$ .

$14 + 12 i + 6 i$

Add $12 i$ and $6 i$ .

$14 + 18 i$

$14 + 18 i$

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