Simplify a rational expression

The video tutorial covers special factoring techniques, focusing on the difference of two squares. It begins with a review of common factoring methods like the greatest common factor (GCF) and progresses to identifying square numbers and special cases. The tutorial explains how to apply the difference of two squares formula and demonstrates simplifying expressions using properties of addition. The lesson concludes with a final simplified solution, reinforcing the learned concepts.

What is the first step you should take when attempting to factor an expression?

• Look for a difference of two squares

• Factor out the greatest common factor

• Rewrite the expression in terms of variables

• Check if it's a perfect square trinomial

Which of the following is a condition for using the difference of two squares method?

• The expression must be a binomial with square terms

• The expression must be linear

• The expression must be a trinomial

• The expression must have a common factor

In the expression A^2 - B^2, what is the factored form?

• (A + B)(A - B)

• (A - B)(A - B)

• (A + B)(A + B)

• (A - B)(B - A)

How can the expression 7 - X be rewritten using the properties of addition?

• X + 7

• 7 + X

• 7 - X

• X - 7

What is the final simplified form of the expression after applying the difference of two squares?

• X + 7

• 7 - X

• X - 7

• 7 + X