Tutorial - Dividing complex numbers ex 19, 6i/(3 - i)

The video tutorial explains how to multiply complex numbers using conjugates to achieve the difference of two squares. It covers the application of the distributive property and the simplification of complex expressions. The tutorial concludes with a step-by-step simplification of a complex number division, emphasizing the importance of writing results in a standard form.

What is the purpose of multiplying a complex number by its conjugate?

• To add the real parts

• To achieve the difference of two squares

• To eliminate the real part

• To increase the magnitude

When multiplying complex numbers, what happens to the middle terms in the difference of two squares?

• They become imaginary

• They cancel each other out

• They are squared

• They are doubled

What is the value of i squared in complex numbers?

• 0

• i

• 1

• -1

How do you simplify the expression after dividing by the common denominator?

• Multiply by the numerator

• Subtract the imaginary part

• Add the real and imaginary parts

• Divide each term separately

In the final expression, what form should the complex number be written in?

• i(a + b)

• bi + a

• a - bi

• a + bi