Factoring Binomials: Difference of Squares

The video tutorial explains how to factor binomials using the difference of squares method. It covers several examples, demonstrating the process of identifying perfect squares and applying the formula to factor them into binomial expressions. The tutorial also highlights the importance of recognizing the greatest common factor (GCF) as the first step in factoring. Through examples, the video illustrates how to factor expressions like X squared minus 36, X squared minus 16, 10 squared minus 9X squared, and expressions requiring GCF extraction.

What is the formula used to factor a binomial that is a difference of squares?

• A^2 - B^2 = (A + B)(A - B)

• (A - B)^2

• (A + B)^2

• A^2 + B^2 = (A + B)(A - B)

In the expression x^2 - 36, what are the values of A and B in the difference of squares formula?

• A = 36, B = x

• A = x, B = 6

• A = 6, B = x

• A = x, B = 36

What are the binomial factors of x^2 - 36?

• (x + 36)(x - 36)

• (x + 6)(x - 6)

• (x + 3)(x - 3)

• (x + 18)(x - 18)

For the expression x^2 - 16, what is the value of B in the difference of squares formula?

• 8

• 2

• 16

• 4

What are the binomial factors of x^2 - 16?

• (x + 8)(x - 8)

• (x + 16)(x - 16)

• (x + 4)(x - 4)

• (x + 2)(x - 2)

In the expression 100 - 9x^2, what is the value of A in the difference of squares formula?

• 100

• 10

• 9

• 3x

What are the binomial factors of 100 - 9x^2?

• (100 + 3x)(100 - 3x)

• (10 + 9x)(10 - 9x)

• (10 + x)(10 - x)

• (10 + 3x)(10 - 3x)

What is the first step in factoring the expression 2x^2 - 18?

• Use the quadratic formula

• Find the greatest common factor

• Apply the difference of squares formula

• Rewrite as a trinomial

After factoring out the greatest common factor in 2x^2 - 18, what expression is left?

• 2x^2 - 18

• x^2 - 18

• 2x^2 - 9

• x^2 - 9

What are the binomial factors of x^2 - 9?

• (x + 1)(x - 1)

• (x + 6)(x - 6)

• (x + 3)(x - 3)

• (x + 9)(x - 9)