Factoring Binomials 3

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

• I only
• III only
• III and IV
• II, III, and IV

Tags

CCSS.HSA.SSE.A.2

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

Tags

CCSS.HSA.SSE.A.2

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.SSE.A.2

Factor Completely: 5x⁴-5

• 5(x²-1)(X²+1) 
• 25(x²-1)(x²+1)
• 5(x+1)(x-1)(x²+1)
• 5(x⁴-1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completley:
25x²y² - 100

• ( 5xy - 10) (5xy + 10) 
• ( 5xy + 10) (5xy + 10) 
• Prime
• ( 5xy - 50) (5xy + 50) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which binomials are a difference of two squares?
I. 81 - c²          II. 64g²  -h²
III. 25y² + 1   IV. 36n² - 27m⁴

• I & III
• I only
• I & II
• I, II, & IV

Tags

CCSS.HSA.SSE.A.2

Determine if 16h² - 9a² is the difference of two squares and if it is, what are those factors?

• The expression is not a difference of squares. It is prime. 
• No, its not. The factors are
  (4h + 3a)²
• Yes it is. The factors are
   (4h + 3a) (4h - 3a)

Tags

CCSS.HSA.SSE.A.2

Factor Completely: 
x⁴-9x²
Hint: Factor GCF first. 

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely: 
3x⁵ - 27x³
Hint: Factor GCF first. 

• 3(x³ - 3)(x² + 3)
• prime
• 3x³(x² - 9)
• 3x³(x - 3)(x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor using Difference of Squares.
x² + 25

• (x-5)(x+5)
• (x+25)(x-25)
• (x-5)
• Prime