FACTORING BY GROUPING WORKSHEET

Fully factorise :

Problem 1 :

ab + ac – 2a

Solution

Problem 2 :

a²b² – 2ab

Solution

Problem 3 :

18x – 2x³

Solution

Problem 4 :

x² + 14x + 49

Solution

Problem 5 :

4a³ – 4ab²

Solution

Problem 6 :

x³y – 4xy

Solution

Problem 7 :

4x⁴ – 4x²

Solution

Problem 8 :

(x - 2)y – (x - 2)z

Solution

Problem 9 :

(x + 1)a + (x + 1)b

Solution

Problem 10 :

(x - y)a + (x - y)

Solution

Problem 11 :

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

Solution

Problem 12 :

x³ + x² + x + 1

Solution

Factorise completely :

Problem 13 :

7x - 35y

Solution

Problem 14 :

2g² - 8

Solution

Problem 15 :

-5x² - 10x

Solution

Problem 16 :

m² + 3mp

Solution

Problem 17 :

a² + 8a + 15

Solution

Problem 18 :

m² - 6m  + 9

Solution

Problem 19 :

5x² + 5xy - 5x²y

Solution

Problem 20 :

xy + 2x + 2y + 4

Solution

Problem 21 :

y² + 5y - 9y - 45

Solution

Problem 22 :

2x² + 10x + x + 5

Solution

Problem 23 :

3y² - 147

Solution

Problem 24 :

3p² - 3q²

Solution

Problem 25 :

4c² - 1

Solution

Problem 26 :

3x² + 3x - 36

Solution

Problem 27 :

2bx - 6b + 10x - 30

Solution

Fully factorise :

Problem 28 :

12 - 11x - x²

Solution

Problem 29 :

-2x² - 6 + 8x

Solution

Problem 30 :

14 - x² - 5x

Solution

Problem 31 :

4x² - 2x³ - 2x

Solution

Problem 32 :

(a + b)² - 9

Solution

Problem 33 :

(x + 2)² - 4

Solution