Factorised form of 23xy – 46x + 54y – 108 is

⇒ lets write factorise form of 23xy – 46x + 54y – 108

⇒ 23xy – 46x + 54y – 108 = 23x(y – 2) + 54(y – 2)

⇒ 23xy – 46x + 54y – 108 = (y – 2)(23x + 54)

⇒ 23xy – 46x + 54y – 108 = (23x + 54)(y – 2)

Option (a) does not match to our solution.

Option (b) does not match to our solution.

Option (c) does match to our solution.

Option (d) does not match to our solution.

So, option (c) is correct answer.