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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

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

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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

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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