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Squaring Binomials

Lesson Plans > Mathematics > Algebra > Expressions
 

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.

Lesson by Mr. Twitchell

Handouts/Worksheets

Squaring Binomials #1

Square the following binomials.

  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

This content is for teachers only, and can only be accessed with a site subscription.

Squaring Binomials #2

Square the following binomials.

  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

This content is for teachers only, and can only be accessed with a site subscription.

Squaring Binomials #3

Square the following binomials.

  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

This content is for teachers only, and can only be accessed with a site subscription.

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