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Question

Factorise:

(12) 36 + 36y + 9y2

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Solution

36 + 36y + 9y2
= 9(4 + 4y + y2 )
= 9{(2)2 + 2 × 2 × y + (y)2 }
= 9(2 + y)2 [a2 + 2ab + b2 = (a + b)2]
= 9(2 + y) (2 + y)
∴ 36 + 36y + 9y2 = 9 (2 + y) (2 + y)

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