Question

2
Example 3: Factorize the expression

(iii) 25a^2 – 20ab + 4b^2 - 16c^2
​

Answer 1

Answer:

(5a - 2b - 4c)(5a - 2b + 4c)

Step-by-step explanation:

25a² – 20ab + 4b² - 16c²

(25a - 10b)(25a - 10b)/25  - 16c²

5(5a - 2b)5(5a - 2b)/25 - 16c²

(5a - 2b)(5a - 2b) - 16c²

(5a - 2b)² - 16c²

(5a - 2b - 4c)(5a - 2b + 4c)

Answer 2

Answer-

(5a - 2b - 4c)(5a - 2b + 4c)

Step-by-step explanation:

25a² – 20ab + 4b² - 16c²

(25a - 10b)(25a - 10b)/25  - 16c²

5(5a - 2b)5(5a - 2b)/25 - 16c²

(5a - 2b)(5a - 2b) - 16c²

(5a - 2b)² - 16c²

(5a - 2b - 4c)(5a - 2b + 4c)