Difference of Two Perfect Squares and Factor Binomials

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Does not factor (prime)

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Factor x² – 16.

• (x + 2)(x – 8)

• (x – 4)(x – 4)

• (x + 4)(x + 4)

• (x + 4)(x – 4)

Factor by rearrangin to use difference of squares

-64 + x²

What factoring method would be used for this one?

4a² - 16

• GCF

• diamond method

  (the X setup)

• difference of 2 perfect squares

  (square roots)

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Which of the following is an example of a difference of perfect squares?

• x²-4

• x²-3

• x²-14

• x²-24

x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

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

Which of the following is a difference of perfect squares?

• x² - 18

• 4x² + 36 

• 9x² - 100

• x² + 4