Simplify (i^2+3)-(7+i^3)

$(i^{2} + 3) - (7 + i^{3})$

Simplify each term.

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

$- 1 + 3 - (7 + i^{3})$

Simplify each term.

Factor out $i^{2}$ .

$- 1 + 3 - (7 + i^{2} \cdot i)$

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

$- 1 + 3 - (7 - 1 \cdot i)$

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

$- 1 + 3 - (7 - i)$

$- 1 + 3 - (7 - i)$

Apply the distributive property.

$- 1 + 3 - 1 \cdot 7 - - i$

Multiply $- 1$ by $7$ .

$- 1 + 3 - 7 - - i$

Multiply $- 1$ by $- 1$ .

$- 1 + 3 - 7 + 1 i$

Multiply $i$ by $1$ .

$- 1 + 3 - 7 + i$

$- 1 + 3 - 7 + i$

Simplify by adding and subtracting.

Add $- 1$ and $3$ .

$2 - 7 + i$

Subtract $7$ from $2$ .

$- 5 + i$

$- 5 + i$

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