Algebra Examples

$(3 + i) + (3 + 7 i) - (- 5 + 4 i)$

Step 1

Remove parentheses.

$3 + i + 3 + 7 i - (- 5 + 4 i)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 + i + 3 + 7 i - - 5 - (4 i)$

Step 2.2

Multiply $- 1$ by $- 5$ .

$3 + i + 3 + 7 i + 5 - (4 i)$

Step 2.3

Multiply $4$ by $- 1$ .

$3 + i + 3 + 7 i + 5 - 4 i$

$3 + i + 3 + 7 i + 5 - 4 i$

Step 3

Simplify by adding terms.

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Step 3.1

Add $3$ and $3$ .

$6 + i + 7 i + 5 - 4 i$

Step 3.2

Add $6$ and $5$ .

$11 + i + 7 i - 4 i$

Step 3.3

Add $i$ and $7 i$ .

$11 + 8 i - 4 i$

Step 3.4

Subtract $4 i$ from $8 i$ .

$11 + 4 i$

$11 + 4 i$

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