Algebra Examples

$6 i (4 - 6 i)$

Step 1

Apply the distributive property.

$6 i \cdot 4 + 6 i (- 6 i)$

Step 2

Multiply $4$ by $6$ .

$24 i + 6 i (- 6 i)$

Step 3

Multiply $6 i (- 6 i)$ .

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Step 3.1

Multiply $- 6$ by $6$ .

$24 i - 36 i i$

Step 3.2

Raise $i$ to the power of $1$ .

$24 i - 36 (i^{1} i)$

Step 3.3

Raise $i$ to the power of $1$ .

$24 i - 36 (i^{1} i^{1})$

Step 3.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$24 i - 36 i^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$24 i - 36 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$24 i - 36 \cdot - 1$

Step 4.2

Multiply $- 36$ by $- 1$ .

$24 i + 36$

Step 5

Reorder $24 i$ and $36$ .

$36 + 24 i$