Question

Factorise 36a2-12a+1-25b2

Answer 1

Step-by-step explanation:

Given Factorise 36a2-12a+1-25b2

• Given we need to factorize the given expression.
• 36 a^2 – 12 a + 1 – 25 b^2
• Now we can write this expression as  
• (6a – 1)^2 – (5 b)^2 (since (6a – 1)^2 = 36 a^2 – 12 a + 1 using (a – b)^2 formula
• Now this is in the form of a^2 – b^2 = (a + b) (a – b) where a = (6a – 1) and b = 5b
• We can write this as
•                                (6a – 1)^2 – 5 b^2 = (6a – 1 + 5) (6a – 1 – 5)
•                                                               = (6a + 4) (6a – 6)
•                                                            = 2 (3a + 2) 6(a – 1)
•                                                               = 12 (3a + 2) (a – 1)

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