Algebra Examples

$2 i^{3} (5 - 3 i^{6})$

Step 1

Factor out $i^{2}$ .

$2 (i^{2} \cdot i) (5 - 3 i^{6})$

Step 2

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

$2 (- 1 \cdot i) (5 - 3 i^{6})$

Step 3

Simplify the expression.

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Step 3.1

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

$2 (- i) (5 - 3 i^{6})$

Step 3.2

Multiply $- 1$ by $2$ .

$- 2 i (5 - 3 i^{6})$

$- 2 i (5 - 3 i^{6})$

Step 4

Simplify each term.

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Step 4.1

Factor out $i^{4}$ .

$- 2 i (5 - 3 (i^{4} i^{2}))$

Step 4.2

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

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Step 4.2.1

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

$- 2 i (5 - 3 ({(i^{2})}^{2} i^{2}))$

Step 4.2.2

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

$- 2 i (5 - 3 ({(- 1)}^{2} i^{2}))$

Step 4.2.3

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

$- 2 i (5 - 3 (1 i^{2}))$

$- 2 i (5 - 3 (1 i^{2}))$

Step 4.3

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

$- 2 i (5 - 3 i^{2})$

Step 4.4

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

$- 2 i (5 - 3 \cdot - 1)$

Step 4.5

Multiply $- 3$ by $- 1$ .

$- 2 i (5 + 3)$

$- 2 i (5 + 3)$

Step 5

Simplify the expression.

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Step 5.1

Add $5$ and $3$ .

$- 2 i \cdot 8$

Step 5.2

Multiply $8$ by $- 2$ .

$- 16 i$

$- 16 i$

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