Algebra Examples

$2 i^{3} + 6 i^{2} - 5 i - 15$

Step 1

Rewrite $i^{3}$ as $i^{2} \cdot i$ .

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Step 1.1

Factor out $i^{2}$ .

$2 (i^{2} i) + 6 i^{2} - 5 i - 15$

Step 1.2

Add multiplication sign between $i$ and $i^{2}$ .

$2 (i^{2} \cdot i) + 6 i^{2} - 5 i - 15$

$2 (i^{2} \cdot i) + 6 i^{2} - 5 i - 15$

Step 2

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

$2 (- 1 i) + 6 i^{2} - 5 i - 15$

Step 3

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

$2 (- i) + 6 i^{2} - 5 i - 15$

Step 4

Multiply $- 1$ by $2$ .

$- 2 i + 6 i^{2} - 5 i - 15$

Step 5

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

$- 2 i + 6 \cdot - 1 - 5 i - 15$

Step 6

Multiply $6$ by $- 1$ .

$- 2 i - 6 - 5 i - 15$

Step 7

Subtract $5 i$ from $- 2 i$ .

$- 6 - 7 i - 15$

Step 8

Subtract $15$ from $- 6$ .

$- 21 - 7 i$

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