Simplify 4i(6-i)

$4 i (6 - i)$

Step 1

Apply the distributive property.

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

Step 2

Multiply $6$ by $4$ .

$24 i + 4 i (- i)$

Step 3

Multiply $4 i (- i)$ .

Multiply $- 1$ by $4$ .

$24 i - 4 i i$

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

$24 i - 4 (i^{1} i)$

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

$24 i - 4 (i^{1} i^{1})$

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

$24 i - 4 i^{1 + 1}$

Add $1$ and $1$ .

$24 i - 4 i^{2}$

Step 4

Simplify each term.

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

$24 i - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$24 i + 4$

Step 5

Reorder $24 i$ and $4$ .

$4 + 24 i$