Factoring Difference of Squares

The video tutorial explains how to factor a binomial using the difference of squares method. It begins by identifying the binomial as a difference of squares and then determines the values being squared. The tutorial proceeds to substitute these values into the formula a^2 - b^2 = (a + b)(a - b) and completes the factorization process, resulting in the factorization of 9x^2 - 1 as (3x + 1)(3x - 1).

What type of binomial is being factored in this lesson?

• Sum of cubes

• Perfect square trinomial

• Difference of squares

• Sum of squares

Which formula is used to factor a difference of squares?

• (a^2 + b^2)

• (a + b)^2

• (a - b)^2

• (a + b)(a - b)

What is the first step in factoring a difference of squares?

• Add the terms

• Identify the squares

• Multiply the terms

• Subtract the terms

What squared value gives 9x^2?

• 5x

• 2x

• 3x

• 4x

What squared value gives 1?

• 3

• 0

• 1

• 2

What is the result of squaring 3x?

• 15x^2

• 12x^2

• 6x^2

• 9x^2

What is the result of squaring 1?

• 2

• 1

• 0

• 3

In the formula a^2 - b^2 = (a + b)(a - b), what is 'a' for 9x^2 - 1?

• 2x

• 3x

• 4x

• 5x

In the formula a^2 - b^2 = (a + b)(a - b), what is 'b' for 9x^2 - 1?

• 3

• 2

• 1

• 0

What is the factorization of 9x^2 - 1?

• (3x + 1)(3x + 1)

• (3x - 1)(3x + 2)

• (3x - 1)(3x - 1)

• (3x + 1)(3x - 1)