Basic Math Examples

$(6 + \sqrt{2 i}) (9 - 4 i)$

Step 1

Expand $(6 + \sqrt{2 i}) (9 - 4 i)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$6 (9 - 4 i) + \sqrt{2 i} (9 - 4 i)$

Step 1.2

Apply the distributive property.

$6 \cdot 9 + 6 (- 4 i) + \sqrt{2 i} (9 - 4 i)$

Step 1.3

Apply the distributive property.

$6 \cdot 9 + 6 (- 4 i) + \sqrt{2 i} \cdot 9 + \sqrt{2 i} (- 4 i)$

Step 2

Simplify each term.

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Step 2.1

Multiply $6$ by $9$ .

$54 + 6 (- 4 i) + \sqrt{2 i} \cdot 9 + \sqrt{2 i} (- 4 i)$

Step 2.2

Multiply $- 4$ by $6$ .

$54 - 24 i + \sqrt{2 i} \cdot 9 + \sqrt{2 i} (- 4 i)$

Step 2.3

Move $9$ to the left of $\sqrt{2 i}$ .

$54 - 24 i + 9 \sqrt{2 i} + \sqrt{2 i} (- 4 i)$

$54 - 24 i + 9 \sqrt{2 i} + \sqrt{2 i} \cdot - 4 i$