Simplify 3i(2+i) - MathMaster

$3 i (2 + i)$

Apply the distributive property.

$3 i \cdot 2 + 3 i i$

Multiply $2$ by $3$ .

$6 i + 3 i i$

Multiply $3 i i$ .

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

$6 i + 3 (i^{1} i)$

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

$6 i + 3 (i^{1} i^{1})$

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

$6 i + 3 i^{1 + 1}$

Add $1$ and $1$ .

$6 i + 3 i^{2}$

Simplify each term.

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

$6 i + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$6 i - 3$

Reorder $6 i$ and $- 3$ .

$- 3 + 6 i$

Simplify 3i(2+i)

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