Question

Factorize:
25a2-9b2 + 12bc - 4c2

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(5a + 3b - 2c) (5a -3b + 2c)

Step-by-step explanation:

We have to factorize 25a²- 9b² + 12bc - 4c²

⇒ (5a)²- ((3b)² - 2(3b)(2c) + (2c)²)

∵ a² - 2ab + b² = (a - b)²

⇒ (5a)² - (3b - 2c)²

∵ a² - b² = (a + b) (a - b)

⇒ (5a + 3b - 2c) (5a -3b + 2c)

So factors are (5a + 3b - 2c) and (5a -3b + 2c).

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