Precalculus Examples

$(- 3 + 3 i) - (- 1 - 8 i) + (- 4 - 6 i)$

Step 1

Remove parentheses.

$(- 3 + 3 i) - (- 1 - 8 i) - 4 - 6 i$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 3 + 3 i - - 1 - (- 8 i) - 4 - 6 i$

Step 2.2

Multiply $- 1$ by $- 1$ .

$- 3 + 3 i + 1 - (- 8 i) - 4 - 6 i$

Step 2.3

Multiply $- 8$ by $- 1$ .

$- 3 + 3 i + 1 + 8 i - 4 - 6 i$

$- 3 + 3 i + 1 + 8 i - 4 - 6 i$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 3$ and $1$ .

$- 2 + 3 i + 8 i - 4 - 6 i$

Step 3.2

Subtract $4$ from $- 2$ .

$- 6 + 3 i + 8 i - 6 i$

Step 3.3

Add $3 i$ and $8 i$ .

$- 6 + 11 i - 6 i$

Step 3.4

Subtract $6 i$ from $11 i$ .

$- 6 + 5 i$

$- 6 + 5 i$

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