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Question

Factorise:

(1) y2 + 8y + 16

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Solution

y2 + 8y + 16
= (y)2 + 2 × y × 4 + (4)2
= (y + 4)2 [a2 + 2ab + b2 = (a + b)2]
= (y + 4) (y + 4)
∴ y2 + 8y + 16 = (y + 4) (y + 4)

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