Simplify -3i*(6i)-3(-7+6i)

$- 3 i \cdot (6 i) - 3 (- 7 + 6 i)$

Step 1

Simplify each term.

Multiply $- 3 i (6 i)$ .

Multiply $6$ by $- 3$ .

$- 18 i i - 3 (- 7 + 6 i)$

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

$- 18 (i^{1} i) - 3 (- 7 + 6 i)$

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

$- 18 (i^{1} i^{1}) - 3 (- 7 + 6 i)$

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

$- 18 i^{1 + 1} - 3 (- 7 + 6 i)$

Add $1$ and $1$ .

$- 18 i^{2} - 3 (- 7 + 6 i)$

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

$- 18 \cdot - 1 - 3 (- 7 + 6 i)$

Multiply $- 18$ by $- 1$ .

$18 - 3 (- 7 + 6 i)$

Apply the distributive property.

$18 - 3 \cdot - 7 - 3 (6 i)$

Multiply $- 3$ by $- 7$ .

$18 + 21 - 3 (6 i)$

Multiply $6$ by $- 3$ .

$18 + 21 - 18 i$

Step 2

Add $18$ and $21$ .

$39 - 18 i$