Factories:

12x2 – 27

We have,


12x2 – 27


= 3(4x2 – 9)


By using the formula a2 – b2 = (a + b)(a – b)


We get,


12x2 – 27 = 3(4x2 – 9)


= 3{(2x)2 – (3)2}


= 3(2x + 3)(2x – 3)


10