Algebra Examples

$- 7 - (4 - 5 i) - (2 - 4 i)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 7 - 1 \cdot 4 - (- 5 i) - (2 - 4 i)$

Step 1.2

Multiply $- 1$ by $4$ .

$- 7 - 4 - (- 5 i) - (2 - 4 i)$

Step 1.3

Multiply $- 5$ by $- 1$ .

$- 7 - 4 + 5 i - (2 - 4 i)$

Step 1.4

Apply the distributive property.

$- 7 - 4 + 5 i - 1 \cdot 2 - (- 4 i)$

Step 1.5

Multiply $- 1$ by $2$ .

$- 7 - 4 + 5 i - 2 - (- 4 i)$

Step 1.6

Multiply $- 4$ by $- 1$ .

$- 7 - 4 + 5 i - 2 + 4 i$

$- 7 - 4 + 5 i - 2 + 4 i$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4$ from $- 7$ .

$- 11 + 5 i - 2 + 4 i$

Step 2.2

Subtract $2$ from $- 11$ .

$- 13 + 5 i + 4 i$

Step 2.3

Add $5 i$ and $4 i$ .

$- 13 + 9 i$

$- 13 + 9 i$

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