Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
2. Complex Numbers
Continue to next subchapter

Exercise 65 Page 109

When we look at the expression, we see that there have been given sums, differences and products of the complex numbers. To add or subtract two complex numbers, we add or subtract their real parts and imaginary parts.
When we multiply two complex numbers, we use Distributive Property and we have as a result of this operation. In this case, we should simplify as Keeping these in mind, let's simplify each of the corresponding expressions.
Given Simplified
Now, the expressions are written in standard form. A complex number written in standard form is a number where and are real numbers. The number is the real part, and the number is the imaginary part.
Therefore, we have three cases.

With these, let's classify our results.

Real numbers Imaginary numbers Pure imaginary numbers