Algebra Examples

$5 (- 3 + 2 i) - (3 i - 15)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 \cdot - 3 + 5 (2 i) - (3 i - 15)$

Step 1.2

Multiply $5$ by $- 3$ .

$- 15 + 5 (2 i) - (3 i - 15)$

Step 1.3

Multiply $2$ by $5$ .

$- 15 + 10 i - (3 i - 15)$

Step 1.4

Apply the distributive property.

$- 15 + 10 i - (3 i) - - 15$

Step 1.5

Multiply $3$ by $- 1$ .

$- 15 + 10 i - 3 i - - 15$

Step 1.6

Multiply $- 1$ by $- 15$ .

$- 15 + 10 i - 3 i + 15$

$- 15 + 10 i - 3 i + 15$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 15$ and $15$ .

$0 + 10 i - 3 i$

Step 2.2

Add $0$ and $10 i$ .

$10 i - 3 i$

Step 2.3

Subtract $3 i$ from $10 i$ .

$7 i$

$7 i$

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