Simplify (2+i^6)-(1-i^2)

$(2 + i^{6}) - (1 - i^{2})$

Simplify each term.

Factor out $i^{4}$ .

$2 + i^{4} i^{2} - (1 - i^{2})$

Rewrite $i^{4}$ as $1$ .

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$2 + {(i^{2})}^{2} i^{2} - (1 - i^{2})$

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

$2 + {(- 1)}^{2} i^{2} - (1 - i^{2})$

Raise $- 1$ to the power of $2$ .

$2 + 1 i^{2} - (1 - i^{2})$

$2 + 1 i^{2} - (1 - i^{2})$

Multiply $i^{2}$ by $1$ .

$2 + i^{2} - (1 - i^{2})$

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

$2 - 1 - (1 - i^{2})$

Simplify each term.

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

$2 - 1 - (1 - - 1)$

Multiply $- 1$ by $- 1$ .

$2 - 1 - (1 + 1)$

$2 - 1 - (1 + 1)$

Add $1$ and $1$ .

$2 - 1 - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$2 - 1 - 2$

$2 - 1 - 2$

Simplify by subtracting numbers.

Subtract $1$ from $2$ .

$1 - 2$

Subtract $2$ from $1$ .

$- 1$

$- 1$

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