Squaring Binomials

No matter how many times you tell algebra students that (a + b)² is not the same as a² + b², there will always be some who forget, and try to square a binomial incorrectly. Below are some worksheets (with answer keys) for students to practice squaring binomials. I keep these on hand, and when I catch a student doing the process incorrectly, I hand them one of these.

Squaring Binomials #1

1. (x + 1)²
   
    
2. (x - 3)²
   
    
3. (2x - 1)²
   
    
4. (3x + 5)²
   
    
5. (
   1

   2
   +x)²
   
    
6. (3x + 2y)²
   
    
7. (xy - z)²
   
    
8. (-x + 4)²
   
    
9. (
   x

   3
   -
   y

   4
   )²
   
    
10. (0.1x - 10y)²
    
     
11. (b² - 3a)²
    
     
12. (x³ + x²)²
    
     
13. (abc - def)²
    
     
14. (9a + 10)²
    
     
15. (-
    3

    2
    + x)²

Squaring Binomials #1: Answer Key

Squaring Binomials #2

1. (x - 10)²
   
    
2. (x + 7)²
   
    
3. (2x - 11)²
   
    
4. (x + y)²
   
    
5. (x - 5y)²
   
    
6. (3x² - 1)²
   
    
7. (
   3

   2
   x +
   1

   2
   )²
   
    
8. (a²b - b²a)²
   
    
9. (10 + 11x²)²
   
    
10. (
    x²

    y
    +
    y²

    x
    )²
    
     
11. (
    1

    x
    -
    1

    y
    )²
    
     
12. (0.3a - 0.2b)²
    
     
13. (
    3
    + x)²
    
     
14. (
    3
    +
    2
    )²
    
     
15. (13 + x⁴y²)²

Squaring Binomials #2: Answer Key

Squaring Binomials #3

1. (x - 3b)²
   
    
2. (x² + 5x)²
   
    
3. (9 -
   2
   )²
   
    
4. (
   1

   2
   +
   2
   )²
   
    
5. (x + 7x³)²
   
    
6. (
   x

   y
   -
   y

   x
   )²
   
    
7. (a -
   1

   2
   )²
   
    
8. (b + 0.2)²
   
    
9. (100 - 1)²
   
    
10. (100 + 1)²
    
     
11. (x + 12)²
    
     
12. (3xy - z)²
    
     
13. ((ab)² - 1)²
    
     
14. (
    x
    +
    y
    )²
    
     
15. (
    xy
    +
    yz
    )²

Squaring Binomials #3: Answer Key