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:

Correct option is (b).

Given, 23xy - 46x + 54y - 108

On factoring this polynomial, we get

= 23x(y - 2) + 54(y - 2)

= (23x + 54) (y - 2)

✦ Try This: Factorised form of 5pq - 25q + 37p - 35 is (a) (5q + 7)(p + 5), (b) (5q - 7)(p + 5), (c) (5q + 7)(p - 5), (d) (5q - 7)(p - 5)

Correct option is (c)

Given, 5pq - 25q + 37p - 35

= 5q(p - 5)+7(p - 5)

= (p - 5)(5q + 7)

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

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NCERT Exemplar Class 8 Maths Chapter 7 Problem 19

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)

Summary:

Factorised form of 23xy - 46x + 54y - 108 is (23x + 54) (y - 2)

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