Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

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

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

Step 2.2

Factor out $i^{2}$ .

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

Step 2.3

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

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

Step 2.4

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

$4 - 1 + 9 - i$

$4 - 1 + 9 - i$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $1$ from $4$ .

$3 + 9 - i$

Step 3.2

Add $3$ and $9$ .

$12 - i$

$12 - i$

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