Factoring Difference of Squares Binomials

Factor:
x² - 49

• (x + 7)(x - 7)

• (x + 7)²

• (x - 7)²

• (x+7)(x-1)

Factor Completely:
x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

Which of the following binomials is not a difference of squares?

• x² - 64

• x² - 16

• x² + 400

• x² - 100

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

• (x + 13) (x - 13)

• (x + 13)²

• (x - 14) (x - 13)

• All of the above

B. P5 - Because ​ (a)   is not a difference of squares, but ​ (b)   = ​ (c)   You can use the pattern for factoring a difference of squares to factor​ (d)   .

4x² - 64y²

• Prime

• ( 2x - 32y) (2 x + 32y) 

• ( 2x - 8y) (2 x - 8y) 

• ( 2x - 8y) (2 x + 8y) 

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

• I only

• III only

• III and IV

• II, III, and IV

Determine if 16h² - 9a² is the difference of two squares and if it is, what are those factors?

• The expression is not a difference of squares. It is prime. 

• No, its not. The factors are
  (4h + 3a)²

• Yes it is. The factors are
   (4h + 3a) (4h - 3a)

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)