Multiply 2i(9-4i) - Math help

$2 i (9 - 4 i)$

Apply the distributive property.

$2 i \cdot 9 + 2 i (- 4 i)$

Multiply $9$ by $2$ .

$18 i + 2 i (- 4 i)$

Multiply $2 i (- 4 i)$ .

Tap for more steps…

Multiply $- 4$ by $2$ .

$18 i - 8 i i$

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

$18 i - 8 (i^{1} i)$

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

$18 i - 8 (i^{1} i^{1})$

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

$18 i - 8 i^{1 + 1}$

Add $1$ and $1$ .

$18 i - 8 i^{2}$

Simplify each term.

Tap for more steps…

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

$18 i - 8 \cdot - 1$

Multiply $- 8$ by $- 1$ .

$18 i + 8$

Reorder $18 i$ and $8$ .

$8 + 18 i$

Multiply 2i(9-4i)

Our Professionals