Simplify (4+i^2)+(9+i^3)

$(4 + i^{2}) + (9 + i^{3})$

Step 1

Remove parentheses.

$4 + i^{2} + 9 + i^{3}$

Step 2

Simplify each term.

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

$4 - 1 + 9 + i^{3}$

Factor out $i^{2}$ .

$4 - 1 + 9 + i^{2} \cdot i$

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

$4 - 1 + 9 - 1 \cdot i$

Rewrite $- 1 i$ as $- i$ .

$4 - 1 + 9 - i$

$4 - 1 + 9 - i$

Step 3

Simplify by adding and subtracting.

Subtract $1$ from $4$ .

$3 + 9 - i$

Add $3$ and $9$ .

$12 - i$

$12 - i$

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