Difference of Two Perfect Squares and Factor Binomials

If one factor of the difference of two squares is x + 2, what is the other factor?

• x - 2

• x² - 2

• x² - 2²

• (x - 2)²

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

(a² - b²) = (a + b)(a - b) is an example of what factoring technique?

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Which binomials are a difference of two squares?

• I only

• III only

• III and IV

• II, III, and IV

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

Anne factored 36x² – 100y⁴ as (6x + 10y) (6x-10y). Which of the following is TRUE about her answer?

• It is correct, because if you get the square root of the first and last term, you will get that answer.

• It is wrong, because the square root of y⁴ is not y.

• It is wrong because it must be a perfect square trinomial.

What is the best method to factor 25x² - 64

• greatest common factor out

• product of two binomials

• difference of two squares

• perfect square trinomial

Select all solutions for the equation:

x² - 81 =0

• 9

• -9

• 81

• 0

• -81