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Question
Factorised form of 23xy – 46x + 54y – 108 is ______.
Options
(23x + 54)(y – 2)
(23x + 54y)(y – 2)
(23xy + 54y)(– 46x – 108)
(23x + 54)(y + 2)
Solution
Factorised form of 23xy – 46x + 54y – 108 is (23x + 54)(y – 2).
Explanation:
We have, 23xy – 46x + 54y – 108 = 23xy – 2 × 23x + 54y – 2 × 54
= 23x(y – 2) + 54(y – 2) ...[Taking common out in I and II expressions]
= (y – 2)(23x + 54) ...[Taking (y – 2) common]
= (23x + 54)(y – 2)
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