Simplifying a radical binomial squared by using foil, (3sqrt(2) - 2sqrt(3))^2

The video tutorial explains how to square expressions, emphasizing the importance of multiplying the expression by itself rather than distributing the square across a binomial. The instructor introduces the FOIL method to simplify expressions, breaking down each step: first, outer, inner, and last terms. The tutorial concludes with simplifying the expression and calculating the final result, highlighting common mistakes and providing alternative methods like the box method.

What does it mean to square an expression?

Explain the FOIL method and its components.

How do you multiply the first terms in the FOIL method?

What is the result of multiplying the outer terms in the FOIL method?

How do you combine like terms after applying the FOIL method?