Algebra 2 Learn how to multiply by conjugate to rationalize the denominator complex numbers, i/(3-i)

The video tutorial addresses a common mistake students make when multiplying by i in binomials. It explains why simply multiplying by i is incorrect and introduces the concept of using the conjugate to simplify expressions. The tutorial demonstrates the application of the distributive property and how to rewrite expressions in standard form, emphasizing the importance of dividing terms correctly.

What is the common mistake students make when multiplying by a binomial?

Explain why multiplying by the conjugate is important in this context.

What happens to the middle terms when multiplying two binomials using the conjugate?

How do you rewrite the expression after applying the distributive property?

What is the final form of the expression after dividing by the denominator?