Difference and Sum of Squares

Identify the factoring technique: 16n^2-9

• Use long division

• Use grouping

• GCF out 16

• Use difference of two squares

• Use Sum/Difference of Two Cubes

Factor x² – 16.

• (x + 2)(x – 8)

• (x – 4)(x – 4)

• (x + 4)(x + 4)

• (x + 4)(x – 4)

Factor 4y² – 9.

• (2y + 3)(2y – 3)

• prime

• (2y + 3)(2y + 3)

• (2y – 3)(2y – 3)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

The difference of squares says

• a² - b² =
  (a + b)(a - b)

• a² + b² =
  (a + b)(a - b)

• a² + b² =
  (a + b)(a + b)

• a² - b² =
  (a - b)(a - b)

Find the factors of 81 - 25w².

• (9 - 5w)(9 + 5w)

• (9w - 5)(9w + 5)

• (5w - 9)(5w + 9)

• (5 - 9w)(5 + 9w)

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20)