Solve by factoring when a difference of two squares

The video tutorial explains the concept of the difference of two squares and its application in solving equations. It begins with an introduction to the concept, followed by methods to identify and verify if an equation is a difference of two squares. The tutorial then demonstrates a factoring technique and applies it to solve equations, emphasizing the importance of recognizing perfect squares and using inverse operations to find solutions.

What is the form of the expression when using the difference of two squares?

• AX^2 + C

• AX^2 - BX + C

• AX^2 - C

• AX^2 + BX + C

Which of the following is a square number that can be used in the difference of two squares?

• 51

• 49

• 50

• 48

What are the values of P and Q when factoring the expression X^2 - 49?

• 0 and 49

• -7 and -7

• 7 and 7

• -7 and 7

What is the result of applying the zero product property to the factors (X - 7)(X + 7)?

• X = 49

• X = 7 and X = -7

• X = -49

• X = 0

Why must one of the factors be negative when using the difference of two squares?

• To ensure the product is positive

• To ensure the sum is positive

• To ensure the product is negative

• To ensure the sum is zero