Question

Factorise:

(a) 4x2 + 9 – 12x – a2 – b2 + 2ab​

Answer 1

Answer:

(4x2 – 12x + 9) – (a2 + b2 – 2ab)

= (2x – 3)2 – (a – b)2

= [(2x – 3) + (a – b)] [(2x – 3) – (a – b)]

= (2x – 3 + a – b)(2x – 3 – a + b)