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 is the correct approach when squaring a binomial expression?

• Add the terms and then square

• Distribute the square across each term

• Multiply the expression by itself

• Square each term separately

In the FOIL method, what does the 'F' stand for?

• Final

• First

• Factor

• Fraction

When using the FOIL method, which terms are multiplied in the 'Outer' step?

• The first terms of each binomial

• The last terms of each binomial

• The outermost terms of the binomials

• The innermost terms of the binomials

What is the result of multiplying -2 sqrt 3 by -2 sqrt 3?

• 6

• 12

• 4 sqrt 3

• 4 sqrt 9

After applying the FOIL method, how do you simplify the expression 18 - 6 sqrt 6 - 6 sqrt 6 + 12?

• Subtract all terms to get 0

• Combine like terms to get 30 - 12 sqrt 6

• Multiply all terms to get 36

• Add all terms to get 24