Question

Factorise 25a2 – 4b2 + 12bc – 9c2​

Answer 1

Answer:

(5a - 2b + 3c)(5a + 2b - 3c)

Step-by-step explanation:

25a2 - 4b2 + 12bc - 9c2

= (5a)2 - ((2b)2 - 2(2b)(3c) + (3c)2)

= (5a)2 - (2b - 3c)2

= (5a - (2b - 3c))(5a + (2b - 3c))

= (5a - 2b + 3c)(5a + 2b - 3c)