Precalculus Examples

$3 + 8 i + (7 - 2 i) - (6 - 5 i)$

Step 1

Remove parentheses.

$3 + 8 i + 7 - 2 i - (6 - 5 i)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 + 8 i + 7 - 2 i - 1 \cdot 6 - (- 5 i)$

Step 2.2

Multiply $- 1$ by $6$ .

$3 + 8 i + 7 - 2 i - 6 - (- 5 i)$

Step 2.3

Multiply $- 5$ by $- 1$ .

$3 + 8 i + 7 - 2 i - 6 + 5 i$

$3 + 8 i + 7 - 2 i - 6 + 5 i$

Step 3

Simplify by adding terms.

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Step 3.1

Add $3$ and $7$ .

$10 + 8 i - 2 i - 6 + 5 i$

Step 3.2

Subtract $6$ from $10$ .

$4 + 8 i - 2 i + 5 i$

Step 3.3

Subtract $2 i$ from $8 i$ .

$4 + 6 i + 5 i$

Step 3.4

Add $6 i$ and $5 i$ .

$4 + 11 i$

$4 + 11 i$

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