Sum and Difference of Cubes

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.APR.C.4

Level 2 Question 14
8x⁶ - 64

• Prime
• 8(x² - 2)³
• 8(x²-2)(x⁴+2x²+4)
• 8(x-2)⁶

Tags

CCSS.HSA.APR.C.4

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)
• (x² + 1) (x - 343)
• (x - 7) (x² + 7x + 49)
• (x² - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4

x³ - 1000

• (x + 10)(x² - 10x + 100)
• (x - 10)(x² + 10x + 100)
• (x - 1)(x² + 1x + 1)
• (x - 5)(x² + 5x + 25)

Tags

CCSS.HSA.APR.C.4

x³ - 8

• (x - 2)(x² + 2x + 4)
• (x + 2)(x² - 2x + 4)
• (x - 3)(x² + 3x + 9)
• (x - 1)(x² + 1x + 1)

Tags

CCSS.HSA.APR.C.4

8x³ + 27

• (3x - 2)(9x² + 6x + 4)
• (3x - 1)(9x² + 3x + 1)
• (2x + 3)(4x² - 6x + 9)
• (2x - 1)(4x² + 2x + 1)

Tags

CCSS.HSA.APR.C.4