# College Algebra : Review and Other Topics

## Example Questions

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### Example Question #11 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 9+2i

### Example Question #19 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of -1+9i

### Example Question #11 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 10-4i

### Example Question #21 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of -8+9i

### Example Question #22 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 9-5i

### Example Question #23 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 9+9i

### Example Question #24 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 18-i

### Example Question #22 : Complex Numbers

Simplify:

Explanation:

When simplifying expressions with complex numbers, use the same techniques and procedures as normal.

Distribute the sign to the terms in parentheses:

Combine like terms- combine the real numbers together and the imaginary numbers together:

This gives a final answer of 4-i

### Example Question #23 : Complex Numbers

Rewrite in standard form:

None of these

Explanation:

Multiply ply by the conjugate:

Simplify:

### Example Question #21 : Complex Numbers

Rewrite in standard form:

None of these

Explanation:

Find a common denominator and subtract.

To do so multiply the numerator and denominator of both fractions by the denominator of the opposite fraction:

Combine and simplify:

Keep in mind

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