Pre-Calculus - Applying foil to multiply complex numbers (3-2i) (4-7i)

The video tutorial introduces the box method as a clear and organized approach to multiplication, especially when dealing with binomials. The instructor explains how to set up the box method, calculate areas, and simplify results by combining like terms. The method is preferred over FOIL for its clarity and reduced error potential. The tutorial concludes with a final problem to reinforce the concepts learned.

What is one advantage of the box method over the FOIL method?

• It uses less paper.

• It requires fewer steps.

• It is faster to execute.

• It is more visually organized.

In the box method, what do you place on the top and side of the grid?

• Equations

• Binomials

• Constants

• Numbers and variables

When using the box method, how do you find the area of each rectangle?

• Divide the length by the width

• Subtract the width from the length

• Multiply the length by the width

• Add the length and width

What should you remember about the imaginary unit 'i' when simplifying results?

• i is equal to 0

• i is equal to -1

• i squared is equal to -1

• i squared is equal to 1

What is the final result of the example problem using the box method?

• -14 + 12i

• 12 + 14i

• 3 - 7i

• -2 - 29i