FACTORING EXPONENTIAL EXPRESSIONS WORKSHEET

Factorise the following :

Problem 1 :

3^2x + 3^x

Problem 2 :

2ⁿ⁺² + 2ⁿ

Problem 3 :

4ⁿ + 4³ⁿ

Problem 4 :

6ⁿ⁺¹ - 6

Solution

Problem 5 :

7ⁿ⁺² - 7

Solution

Problem 6 :

3ⁿ⁺² - 9

Solution

Problem 7 :

5(2ⁿ) + 2ⁿ⁺²

Solution

Problem 8 :

3ⁿ⁺² + 3ⁿ⁺¹ + 3ⁿ

Solution

Problem 9 :

2ⁿ⁺¹ + 3 (2ⁿ) + 2^n-1

Solution

Answer Key

1) 3^x(3^x+ 1)

2) 5 ⋅ 2ⁿ

3) 4ⁿ (1 + 4²ⁿ)

4) 6(6ⁿ - 1)

5) 7 (7ⁿ⁺¹- 1)

6) 9(3ⁿ - 1)

7) 9 ⋅ 2ⁿ

8) 13 ⋅ 3ⁿ

9) 11 (2^n-1)