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Mathematics

Factorise :

1 - (2x + 3y) - 6(2x + 3y)2

Factorisation

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Answer

1 - (2x + 3y) - 6(2x + 3y)2

= 1 - (3 - 2)(2x + 3y) - 6(2x + 3y)2

= 1 - 3(2x + 3y) + 2(2x + 3y) - 6(2x + 3y)2

= 1[1 - 3(2x + 3y)] + 2(2x + 3y)[1 - 3(2x + 3y)]

= [1 - 3(2x + 3y)][1 + 2(2x + 3y)]

= [1 - 6x - 9][1 + 4x + 6y]

Hence,1 - (2x + 3y) - 6(2x + 3y)2 = [1 - 6x - 9y][1 + 4x + 6y]

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