Question

factorise 3)36a²-12a+1-25b²​

Answer 1

Answer:

12x

2

+36a

2

=43ax

⇒12x

2

−43ax+36a

2

=0

⇒12x

2

−27ax−16ax+36a

2

=0

⇒3x(4x−9a)−4a[4x−9a]=0

⇒

(3x−4a)(4x−9a)

Answer 2

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)