Simplify Exponents and Multiply Binomials

Expand and simplify the following:

(a + 3)(a + 7)

• Expanded = a^2 + 7a + 3a + 23

  
  Simplified = a^2 + 10a + 23

• Expanded = a^2 + 7a + 3a + 21
  
  Simplified = a^2 + 10a + 21
  

• Expanded = a^2 + 7a + 3a + 21
  
  Simplified = a^a + 21a + 21

• Expanded = a^2 + 7a + 3a + 10
  
  Simplified = a^2 + 10a + 10

Expand and simplify the following:

(a + 2)(a + 6)

• Expanded = a^4 + 6a + 2a + 12

  
  

  Simplified = 4a + 6a + 2a + 12

• Expanded = a^2 + 6a + 2a + 12

  
  

  Simplified = 2a + 6a + 2a + 12

• Expanded = a^2 + 6a + 2a + 12

  
  

  Simplified = a^2 + 8a + 12

• Expanded = a^2 + 6a + 2a + 12

  
  

  Simplified = a^2 + 12a + 12

Expand and simplify the following:

(a + 7)(a + 5)

• Expanded = a^2 + 5a + 7a + 35

  
  

  Simplified = a^2 + 12a + 35

• Expanded = a^2 + 5a + 7a + 35

  
  

  Simplified = a^2 + 35a + 35

• Expanded = a^2 + 5a + 7a + 30

  
  

  Simplified = a^2 + 12a + 30

• Expanded = a^4 + 5a + 7a + 35

  
  

  Simplified = a^4 + 14a + 35

Expand and simplify the following:

(a + 3)(a + 3)

• Expanded = a^2 + 3a^2 + 3 + 3

  
  

  Simplified = a^2 + 3a^2 + 6

• Expanded = a^2 + 3a + 3a + 9

  
  

  Simplified = a^2 + 6a + 9

• Expanded = a^2 + 3a + 3a + 9

  
  

  Simplified = a^2 + 9a + 9

• Expanded = a^2 + 3a + 3a + 6

  
  

  Simplified = a^2 + 6a + 6

Expand and simplify the following:

(a + 9)(a + 12)

• Expanded = a^2 + 12a + 9a + 21

  
  

  Simplified = a^2 + 21a + 21

• Expanded = a^2 + 12a + 9a + 108

  
  

  Simplified = a^2 + 108a + 108

• Expanded = a^2 + 12a + 9a + 108

  
  

  Simplified = a^2 + 21a + 108

• Expanded = a^2 + 12a + 9a + 108

  
  

  Simplified = a^2 + 21b + 108