Question:
Factorised form of 23xy – 46x + 54y – 108 is
(a) (23x + 54) (y – 2)
(b) (23x + 54y) (y – 2)
(c) (23xy + 54y) (– 46x – 108)
(d) (23x + 54) (y + 2)
Solution:
(a) (23x + 54) (y – 2)
Factorised form of 23xy – 46x + 54y – 108 is = 23xy – (2 × 23x) + 54y – (2 × 54)
Take out the common factors,
= 23x (y – 2) + 54 (y – 2)
Again take out the common factor,
= (y – 2) (23x + 54)
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