Factor Sum

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor using sum or difference of cubes. (use your notes!)

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Fully Factor the Following
216x³+125

• 6(x+5)³

• (6x+5)³

• (6x+5)(6x²-30x+25)

• (6x+5)(36x²-30x+25)

Factor:
x³ + 27

• (x + 3) (x² - 3x + 9)

• (x - 3) (x² + 3x + 9)

• (x + 3)(x + 9)

• Prime
  (can't be factored)

Identify if the expression can be factored as sum or difference of cubes:

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

64x³ + 125

• (4x - 5)(16x² + 20x + 25)

• (4x + 5)(16x² - 20x + 25)

• (4x - 5)(16x² + 20x - 25)

• (4x + 5)(16x² - 20x - 25)

Factor this sum of cubes: 2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Factor using differencesum/ of cubes.  (use your notes!)
a³ + b³

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

x³ + 64

• (x + 3)(x² - 3x + 9)

• (x + 5)(x² - 5x + 25)

• (x + 4)(x² - 4x + 16)

• (x - 4)(x² + 4x + 16)