WORKSHEET ON MULTIPLYING BINOMIALS

Expand the following and collect like terms:

Problem 1 :

(x + 5) (x + 5)

Solution

Problem 2 :

(x + 9) (x + 9)

Solution

Problem 3 :

(y - 2) (y - 2)

Solution

Problem 4 :

(m - 3) (m - 3)

Solution

Problem 5 :

(2m + 5) (2m + 5)

Solution

Problem 6 :

(t + 10) (t + 10)

Solution

Problem 7 :

 (y + 8)²

Solution

Problem 8 :

(t + 6)²

Solution

Answer Key

1) x² + 10x + 25 

2) x² + 18x + 81

3)  y² - 4y + 4

4) m² - 6m + 9

5) 4m² + 20m + 25

6) t² + 20t + 100

7) y2 + 16y + 64

8) t² + 12t + 36

Expand the following and simplify :

Problem 1 :

(x + 2) (x + 5)

Solution

Problem 2 :

(x - 3) (x + 4)

Solution

Problem 3 :

(x - 2) (x - 10)

Solution

Problem 4 :

(2x + 1) (x - 3)

Solution

Problem 5 :

(2x + y) (x - y)

Solution

Problem 6 :

(x + 3) (-2x - 1)

Solution

Expand and simplify :

Problem 7 :

(x + 7) (x - 7)

Solution

Problem 8 :

(3 + a)(3 - a)

Solution

Problem 9 :

(2x + 1) (2x - 1)

Solution

Problem 10 :

(4 - 3y) (4 + 3y)

Solution

Answer Key

1)  x2+7x+10 

2)  x+ x - 12 

3)  x- 12x + 20

4)  2x- 5x - 3

5)  2x- xy - y2

6)  -2x2 7x - 3

7)  x- 49

8)   9 - a2

9)  4x2-1

10)  16 - 9y2

Expand and simplify :

Problem 1 :

(3x + 1) (3x + 2)

Solution

Problem 2 :

(2x + 1) (2x + 5)

Solution

Problem 3 :

(5x - 2) (5x - 7)

Solution

Problem 4 :

(2x + 1)2

Solution

Problem 5 :

(3x + 2)2

Solution

Problem 6 :

(4x - 7)2

Solution

Problem 7 :

(3x + 1)2

Solution

Problem 8 :

(3x - 8)2

Solution

Problem 9 :

(5x - 3)2

Solution

Problem 10 :

(x1/2 + 3) (x1/2 - 3)

Solution

Problem 11 :

(2x + 5) (2x - 5)

Solution

Problem 12 :

(x1/2 + x-1/2) (x1/2 + x-1/2)

Solution

Problem 13 :

(x + 3/x)2

Solution

Problem 14 :

(ex – e-x)2

Solution

Problem 15 :

(3 – 2-x)2

Solution

Answer Key

1)  9x + 3(x + 1) + 2

2)  4x + 6 2x + 5

3)  25x - 9 5x + 14

4)  4x + 2(x + 1) + 1

5)  9x + 4(3x) + 4

6)  16x - 14(4x) + 49

7)  9x + 2(3x) + 1

8)  9x - 16(3x) + 64

9)  25x - 6(5x) + 9

10)   x - 9

11)  4x - 25

12)  x 1/x

13)   x2 + 6 + 9/x2

14)  e2x – 2 + e-2x

15)  9 – (6/2x) + (1/4)x

More Practice Questions

multiplying-algebraic-terms-and-polynomials-worksheet

Solution

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More