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Example 3: Factorize the expression
(iii) 25a^2 – 20ab + 4b^2 - 16c^2
Example 3: Factorize the expression
(iii) 25a^2 – 20ab + 4b^2 - 16c^2
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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-
(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)