Algebra Examples

$(4 - 5 i) - (- 2 i - 8) + (- 1 + 8 i)$

Step 1

Remove parentheses.

$(4 - 5 i) - (- 2 i - 8) - 1 + 8 i$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 - 5 i - (- 2 i) - - 8 - 1 + 8 i$

Step 2.2

Multiply $- 2$ by $- 1$ .

$4 - 5 i + 2 i - - 8 - 1 + 8 i$

Step 2.3

Multiply $- 1$ by $- 8$ .

$4 - 5 i + 2 i + 8 - 1 + 8 i$

$4 - 5 i + 2 i + 8 - 1 + 8 i$

Step 3

Simplify by adding terms.

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Step 3.1

Add $4$ and $8$ .

$12 - 5 i + 2 i - 1 + 8 i$

Step 3.2

Subtract $1$ from $12$ .

$11 - 5 i + 2 i + 8 i$

Step 3.3

Add $- 5 i$ and $2 i$ .

$11 - 3 i + 8 i$

Step 3.4

Add $- 3 i$ and $8 i$ .

$11 + 5 i$

$11 + 5 i$

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