Finite Math Examples

$(- 3 i - 7 i) (- 2 - 8 i)$

Step 1

Subtract $7 i$ from $- 3 i$ .

$- 10 i (- 2 - 8 i)$

Step 2

Apply the distributive property.

$- 10 i \cdot - 2 - 10 i (- 8 i)$

Step 3

Multiply $- 2$ by $- 10$ .

$20 i - 10 i (- 8 i)$

Step 4

Multiply $- 10 i (- 8 i)$ .

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Step 4.1

Multiply $- 8$ by $- 10$ .

$20 i + 80 i i$

Step 4.2

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

$20 i + 80 (i^{1} i)$

Step 4.3

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

$20 i + 80 (i^{1} i^{1})$

Step 4.4

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

$20 i + 80 i^{1 + 1}$

Step 4.5

Add $1$ and $1$ .

$20 i + 80 i^{2}$

Step 5

Simplify each term.

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Step 5.1

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

$20 i + 80 \cdot - 1$

Step 5.2

Multiply $80$ by $- 1$ .

$20 i - 80$

Step 6

Reorder $20 i$ and $- 80$ .

$- 80 + 20 i$