Simplify 3i(6-5i)

$3 i (6 - 5 i)$

Step 1

Apply the distributive property.

$3 i \cdot 6 + 3 i (- 5 i)$

Step 2

Multiply $6$ by $3$ .

$18 i + 3 i (- 5 i)$

Step 3

Multiply $3 i (- 5 i)$ .

Multiply $- 5$ by $3$ .

$18 i - 15 i i$

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

$18 i - 15 (i^{1} i)$

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

$18 i - 15 (i^{1} i^{1})$

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

$18 i - 15 i^{1 + 1}$

Add $1$ and $1$ .

$18 i - 15 i^{2}$

Step 4

Simplify each term.

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

$18 i - 15 \cdot - 1$

Multiply $- 15$ by $- 1$ .

$18 i + 15$

Step 5

Reorder $18 i$ and $15$ .

$15 + 18 i$