Factoring Difference of Squares

The video tutorial explains the difference of squares strategy, a method used to factor or simplify expressions of the form a^2 - b^2. It demonstrates how this expression can be factored into (a + b)(a - b) and verifies the formula using the distributive property. The tutorial provides examples to illustrate the concept, including cases where the expression is not a difference of squares. Advanced examples are also covered, showing how to apply the strategy to more complex expressions.

What is the basic formula for factoring a difference of squares?

• (a + b)(a - b)

• (a - b)(a - b)

• (a + b)(a + b)

• (a - b)(b - a)

Which property is used to verify the difference of squares formula?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

What is the result of factoring x^2 - y^2 using the difference of squares?

• (x + y)(x - y)

• (x - y)(x - y)

• (x - y)(y - x)

• (x + y)(x + y)

Which of the following is a valid example of a difference of squares?

• a^2 * b^2

• a^2 + b^2

• a^2 - b^2

• a^2 / b^2

Why can't x^2 + y^2 be factored using the difference of squares?

• Because x and y are not squared

• Because it is not a polynomial

• Because it is a sum, not a difference

• Because it is already factored

Which expression cannot be factored using the difference of squares?

• x^2 - 9

• x^2 + 9

• x^2 - 25

• x^2 - 16

How can 16r^2 - 25 be factored using the difference of squares?

• (4r - 5)(5r - 4)

• (4r + 5)(4r + 5)

• (4r - 5)(4r - 5)

• (4r + 5)(4r - 5)

What is the expression for R^4 - x^2 using the difference of squares?

• (R^2 + x)(R^2 + x)

• (R^2 + x)(R^2 - x)

• (R^2 - x)(x - R^2)

• (R^2 - x)(R^2 - x)

What is the result of applying the difference of squares to 9x^2 - 16?

• (3x - 4)(4x - 3)

• (3x + 4)(3x + 4)

• (3x - 4)(3x - 4)

• (3x + 4)(3x - 4)

What is the factored form of 49y^2 - 36 using the difference of squares?

• (7y + 6)(7y - 6)

• (7y - 6)(7y - 6)

• (7y + 6)(7y + 6)

• (7y - 6)(6y - 7)