Differences of Squares

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

x⁴ - 16

• ( 2x - 4) ( 2x + 4)

• ( x² - 4) ( x² + 4)

• ( x² - 8) ( x² + 8)

• ( x - 4) ( x + 4)

x² - 225

• ( x + 15) ( x + 15)

• Unfactorable

• ( x - 15) ( x + 15)

• ( x - 15) ( x - 15)

Factor the Polynomial:

121r² - 64t²

• (11r + 8t)(11r - 8t)

• (11r - 8t)(11r - 8t)

• (11r + 8t)(11r + 8t)

• Unfactorable

(x + 3)(x - 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

(5x - 3)(5x + 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

(x - 3)(x + 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Fully Factor the Following
4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )