Sum and Difference of Two Squares

Complete the formula
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

Complete the formula

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

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
27x³-64

• (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

Fully Factor the Following
8x³-27

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

Tags

CCSS.HSA.APR.C.4

Which number is both a perfect square and a perfect cube?

• 64

• 27

• 81

• 16

Tags

CCSS.6.EE.A.1

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

3x³ + 24

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

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

64x³ + 1

• (4x - 3)(16x² + 12x + 9)
• (3x - 1)(9x² + 3x + 1)
• (2x - 1)(4x² + 2x + 1)
• (4x + 1)(16x² - 4x + 1)

Tags

CCSS.HSA.APR.C.4