Algebra Examples

$(5 - 8 i) - 2 i (2 - 3 i)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 - 8 i - 2 i \cdot 2 - 2 i (- 3 i)$

Step 1.2

Multiply $2$ by $- 2$ .

$5 - 8 i - 4 i - 2 i (- 3 i)$

Step 1.3

Multiply $- 2 i (- 3 i)$ .

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Step 1.3.1

Multiply $- 3$ by $- 2$ .

$5 - 8 i - 4 i + 6 i i$

Step 1.3.2

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

$5 - 8 i - 4 i + 6 (i^{1} i)$

Step 1.3.3

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

$5 - 8 i - 4 i + 6 (i^{1} i^{1})$

Step 1.3.4

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

$5 - 8 i - 4 i + 6 i^{1 + 1}$

Step 1.3.5

Add $1$ and $1$ .

$5 - 8 i - 4 i + 6 i^{2}$

$5 - 8 i - 4 i + 6 i^{2}$

Step 1.4

Simplify each term.

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Step 1.4.1

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

$5 - 8 i - 4 i + 6 \cdot - 1$

Step 1.4.2

Multiply $6$ by $- 1$ .

$5 - 8 i - 4 i - 6$

$5 - 8 i - 4 i - 6$

$5 - 8 i - 4 i - 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6$ from $5$ .

$- 1 - 8 i - 4 i$

Step 2.2

Subtract $4 i$ from $- 8 i$ .

$- 1 - 12 i$

$- 1 - 12 i$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$