Algebra Examples

$5 i (- 7 + 6 i)$

Step 1

Apply the distributive property.

$5 i \cdot - 7 + 5 i (6 i)$

Step 2

Multiply $- 7$ by $5$ .

$- 35 i + 5 i (6 i)$

Step 3

Multiply $5 i (6 i)$ .

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Step 3.1

Multiply $6$ by $5$ .

$- 35 i + 30 i i$

Step 3.2

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

$- 35 i + 30 (i^{1} i)$

Step 3.3

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

$- 35 i + 30 (i^{1} i^{1})$

Step 3.4

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

$- 35 i + 30 i^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$- 35 i + 30 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$- 35 i + 30 \cdot - 1$

Step 4.2

Multiply $30$ by $- 1$ .

$- 35 i - 30$

Step 5

Reorder $- 35 i$ and $- 30$ .

$- 30 - 35 i$