Simplify (-7+8i)-(-5i+4i^2)

$(- 7 + 8 i) - (- 5 i + 4 i^{2})$

Simplify each term.

Simplify each term.

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

$- 7 + 8 i - (- 5 i + 4 \cdot - 1)$

Multiply $4$ by $- 1$ .

$- 7 + 8 i - (- 5 i - 4)$

$- 7 + 8 i - (- 5 i - 4)$

Apply the distributive property.

$- 7 + 8 i - (- 5 i) - - 4$

Multiply $- 5$ by $- 1$ .

$- 7 + 8 i + 5 i - - 4$

Multiply $- 1$ by $- 4$ .

$- 7 + 8 i + 5 i + 4$

$- 7 + 8 i + 5 i + 4$

Simplify by adding terms.

Add $- 7$ and $4$ .

$- 3 + 8 i + 5 i$

Add $8 i$ and $5 i$ .

$- 3 + 13 i$

$- 3 + 13 i$

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