Algebra Examples

$(8 + i^{2}) - (2 - i^{6})$

Step 1

Simplify each term.

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Step 1.1

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

$8 - 1 - (2 - i^{6})$

Step 1.2

Simplify each term.

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Step 1.2.1

Factor out $i^{4}$ .

$8 - 1 - (2 - (i^{4} i^{2}))$

Step 1.2.2

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

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Step 1.2.2.1

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

$8 - 1 - (2 - ({(i^{2})}^{2} i^{2}))$

Step 1.2.2.2

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

$8 - 1 - (2 - ({(- 1)}^{2} i^{2}))$

Step 1.2.2.3

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

$8 - 1 - (2 - (1 i^{2}))$

$8 - 1 - (2 - (1 i^{2}))$

Step 1.2.3

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

$8 - 1 - (2 - i^{2})$

Step 1.2.4

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

$8 - 1 - (2 - - 1)$

Step 1.2.5

Multiply $- 1$ by $- 1$ .

$8 - 1 - (2 + 1)$

$8 - 1 - (2 + 1)$

Step 1.3

Add $2$ and $1$ .

$8 - 1 - 1 \cdot 3$

Step 1.4

Multiply $- 1$ by $3$ .

$8 - 1 - 3$

$8 - 1 - 3$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $1$ from $8$ .

$7 - 3$

Step 2.2

Subtract $3$ from $7$ .

$4$

$4$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$