Difference of Squares Polynomials

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Does not factor (prime)

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

(a)  

• F

• G

• H

• J

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

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

Factor 25x²-81.

• (5x-9)²

• 25(x-9)²

• (5x+9)(5x-9)

• Prime

Factor m² - 144

• (m - 12)(m - 12)

• (m - 12)(m + 12)

• (m - 12)

• (m + 12)²