Math, asked by 7408302906, 1 year ago

how to factorise 9a² +6a +1-36b²​

Answers

Answered by AccioNerd
29

Answer:

9a² + 6a + 1 - 36b² = (3a + 1 + 6b)(3a - 1 - 6b)

Step-by-step explanation:

9a² + 6a + 1 - 36b²

= (3a)² + 2(3a)(1) + 1² - 36b²

Using identity (x + y)² = x²+ 2xy + y². Here x = 3a and y = 1

= (3a + 1)² - 36b²

= (3a + 1)² - (6b)²

Using identity x² - y² = (x + y)(x - y). Here x = 3a + 1 and y = 6b

= (3a + 1 + 6b)(3a - 1 - 6b)

Hope this helps! :)


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Answered by Brainlycreator
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