Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

$(7 - - 1) (2 + i^{4})$

Step 1.2

Multiply $- 1$ by $- 1$ .

$(7 + 1) (2 + i^{4})$

$(7 + 1) (2 + i^{4})$

Step 2

Add $7$ and $1$ .

$8 (2 + i^{4})$

Step 3

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

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Step 3.1

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

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

Step 3.2

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

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

Step 3.3

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

$8 (2 + 1)$

$8 (2 + 1)$

Step 4

Add $2$ and $1$ .

$8 \cdot 3$

Step 5

Multiply $8$ by $3$ .

$24$

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