Algebra 2 - How to multiply two complex numbers using special products, (5 - 3i)(5 + 3i)

The video tutorial explains how to identify and simplify expressions using special products, specifically focusing on the difference of two squares. The instructor introduces shortcuts like the FOIL and box methods, emphasizing that when multiplying expressions with one sum and one difference, the middle terms cancel out, resulting in a difference of squares. The tutorial concludes with a demonstration of simplifying an expression to find a real answer.

Which method is mentioned as a shortcut for multiplying binomials?

• The distributive property

• The Pythagorean theorem

• The quadratic formula

• The FOIL method

What happens to the middle terms when multiplying expressions that form a difference of two squares?

• They become negative

• They cancel out

• They double

• They remain unchanged

In the example provided, what is the result of multiplying the first terms?

• 34

• 25

• 9

• 15

What is the value of i squared in the context of the difference of two squares?

• 0

• 9

• -1

• 1

What is the final real answer obtained in the example calculation?

• 15

• 34

• 9

• 25