Question

factorize 9a^2+6a+1-25b^2​

Answer 1

Answer:

⇒ [3a - 5b + 1] [3a + 5b + 1]

Step-by-step explanation:

Given :

To factorize :

9a² + 6a + 1 - 25b²

Solution :

⇒ 9a² + 6a + 1 - 25b²

⇒ (9a² + 6a + 1) - (25b²)

⇒ [9a² + 3a + 3a + 1] - (5b)²

⇒ [ 3a(3a + 1) + 1(3a + 1) ] - (5b)²

⇒ [ (3a + 1)(3a + 1) ] - (5b)²

⇒ (3a + 1)² - (5b)²

We know that,

a² - b² = (a + b)(a - b)

⇒ [(3a + 1) - (5b)] [3a + 1 + (5b)]

⇒ [3a + 1 - 5b] [3a + 1 + 5b]

⇒ [3a - 5b + 1] [3a + 5b + 1]

Answer 2

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