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Mathematics

Factorise :

(3x - 2y)2 - 5(3x - 2y) - 24

Factorisation

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Answer

(3x - 2y)2 - 5(3x - 2y) - 24

= (3x - 2y)2 - (8 - 3)(3x - 2y) - 24

= (3x - 2y)2 - 8(3x - 2y) + 3(3x - 2y) - 24

= (3x - 2y)((3x - 2y) - 8) + 3((3x - 2y) - 8)

= (3x - 2y)(3x - 2y - 8) + 3(3x - 2y - 8)

= (3x - 2y - 8)(3x - 2y + 3)

Hence,(3x - 2y)2 - 5(3x - 2y) - 24 = (3x - 2y - 8)(3x - 2y + 3)

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