how to factorise 9a² +6a +1-36b²
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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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