Sec. 5.3 Review Part 1 (Sum,diff of cubes/squares)

Which of the following are in the form of difference of squares? Select all that apply.

• (x - 3)(x + 3)

• (2d - 5)(2d - 5)

• (f + 6)(f - 6)

• (k² - 10)(k² + 10)

• (y + 1)(y + 1)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Tags

CCSS.HSA.APR.C.4

∛125

• 5
• 4
• 6
• 7

Tags

CCSS.8.EE.A.2

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

• 64

• 27

• 81

• 16

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 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

64x³ + 125

• (4x - 5)(16x² + 20x + 25)

• (4x + 5)(16x² - 20x + 25)

• (4x - 5)(16x² + 20x - 25)

• (4x + 5)(16x² - 20x - 25)

Tags

CCSS.HSA.APR.C.4

Factor this sum of cubes:
216x³ + 125

• 6(x + 5)³
• (6x - 5)(36x² + 30x + 25)
• (6x + 5)(6x² - 30x + 25)
• (6x + 5)(36x² - 30x + 25)

Tags

CCSS.HSA.APR.C.4