Question

factorize the following 4(a+b)^2 - 12(a+b)+9 please fast if you can and happy new year.​

Answer 1

Answer:

(2a + 2b - 3)²

Step-by-step explanation:

Let (a + b) = x

Then our expression becomes

4x² - 12x + 9

= 4x² - 6x - 6x +. 9

= 2x(2x - 3) - 3(2x - 3)

= (2x - 3)(2x - 3)

= (2x - 3)²

Now put the original value of x

= [2(a + b) - 3)]²

= (2a + 2b - 3)²

Answer 2

Answer:The answer is (2a+2b-3)²

Step-by-step explanation:

The given expression is 4(a+b)^2 - 12(a+b)+9

Let, (a+b)=p

Now, the expression is 4p² - 12p + 9

= (2p)² - 2×2p×3 + 3²

= (2p - 3)²

Putting the value of p in the expression:

[2(a+b) - 3]²

= (2a+2b-3)²