Algebra Examples

$(5 + 12 i) - (9 i^{2} - 6 i)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

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

$5 + 12 i - (9 \cdot - 1 - 6 i)$

Step 1.1.2

Multiply $9$ by $- 1$ .

$5 + 12 i - (- 9 - 6 i)$

$5 + 12 i - (- 9 - 6 i)$

Step 1.2

Apply the distributive property.

$5 + 12 i - - 9 - (- 6 i)$

Step 1.3

Multiply $- 1$ by $- 9$ .

$5 + 12 i + 9 - (- 6 i)$

Step 1.4

Multiply $- 6$ by $- 1$ .

$5 + 12 i + 9 + 6 i$

$5 + 12 i + 9 + 6 i$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5$ and $9$ .

$14 + 12 i + 6 i$

Step 2.2

Add $12 i$ and $6 i$ .

$14 + 18 i$

$14 + 18 i$

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