Mathematics
Factorise :
3x2y + 11xy + 6y
Factorisation
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Answer
3x2y + 11xy + 6y
= 3x2y + (9 + 2)xy + 6y
= 3x2y + 9xy + 2xy + 6y
= (3x2y + 9xy) + (2xy + 6y)
= 3xy(x + 3) + 2y(x + 3)
= (x + 3)(3xy + 2y)
= (x + 3)y(3x + 2)
Hence,3x2y + 11xy + 6y = y(x + 3)(3x + 2)
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