Algebra Examples

$(4 - i \sqrt{2}) - (3 + i \sqrt{2}) + 8 i$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 - i \sqrt{2} - 1 \cdot 3 - (i \sqrt{2}) + 8 i$

Step 1.2

Multiply $- 1$ by $3$ .

$4 - i \sqrt{2} - 3 - i \sqrt{2} + 8 i$

$4 - i \sqrt{2} - 3 - i \sqrt{2} + 8 i$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3$ from $4$ .

$- i \sqrt{2} + 1 - i \sqrt{2} + 8 i$

Step 2.2

Subtract $i \sqrt{2}$ from $- i \sqrt{2}$ .

$- 2 i \sqrt{2} + 1 + 8 i$

Step 2.3

Reorder $- 2 i \sqrt{2}$ and $1$ .

$1 - 2 i \sqrt{2} + 8 i$

$1 - 2 i \sqrt{2} + 8 i$

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