Algebra Examples

$- (- 10 + 10 i) - (- 9 - 5 i) + (- 12 + i)$

Step 1

Remove parentheses.

$- (- 10 + 10 i) - (- 9 - 5 i) - 12 + i$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- - 10 - (10 i) - (- 9 - 5 i) - 12 + i$

Step 2.2

Multiply $- 1$ by $- 10$ .

$10 - (10 i) - (- 9 - 5 i) - 12 + i$

Step 2.3

Multiply $10$ by $- 1$ .

$10 - 10 i - (- 9 - 5 i) - 12 + i$

Step 2.4

Apply the distributive property.

$10 - 10 i - - 9 - (- 5 i) - 12 + i$

Step 2.5

Multiply $- 1$ by $- 9$ .

$10 - 10 i + 9 - (- 5 i) - 12 + i$

Step 2.6

Multiply $- 5$ by $- 1$ .

$10 - 10 i + 9 + 5 i - 12 + i$

$10 - 10 i + 9 + 5 i - 12 + i$

Step 3

Simplify by adding terms.

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Step 3.1

Add $10$ and $9$ .

$19 - 10 i + 5 i - 12 + i$

Step 3.2

Subtract $12$ from $19$ .

$7 - 10 i + 5 i + i$

Step 3.3

Add $- 10 i$ and $5 i$ .

$7 - 5 i + i$

Step 3.4

Add $- 5 i$ and $i$ .

$7 - 4 i$

$7 - 4 i$

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