Precalculus Examples

$\frac{- 10 - 1 i + 6 + 11 i}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $- 1 i$ as $- i$ .

$\frac{- 10 - i + 6 + 11 i}{2}$

Step 1.2

Add $- 10$ and $6$ .

$\frac{- 4 - i + 11 i}{2}$

Step 1.3

Add $- i$ and $11 i$ .

$\frac{- 4 + 10 i}{2}$

$\frac{- 4 + 10 i}{2}$

Step 2

Cancel the common factor of $- 4 + 10 i$ and $2$ .

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Step 2.1

Factor $2$ out of $- 4$ .

$\frac{2 \cdot - 2 + 10 i}{2}$

Step 2.2

Factor $2$ out of $10 i$ .

$\frac{2 \cdot - 2 + 2 (5 i)}{2}$

Step 2.3

Factor $2$ out of $2 (- 2) + 2 (5 i)$ .

$\frac{2 (- 2 + 5 i)}{2}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $2$ out of $2$ .

$\frac{2 (- 2 + 5 i)}{2 (1)}$

Step 2.4.2

Cancel the common factor.

$\frac{2 (- 2 + 5 i)}{2 \cdot 1}$

Step 2.4.3

Rewrite the expression.

$\frac{- 2 + 5 i}{1}$

Step 2.4.4

Divide $- 2 + 5 i$ by $1$ .

$- 2 + 5 i$

$- 2 + 5 i$

$- 2 + 5 i$

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