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Question

Factorise:

(6) q2 + 12q + 36

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Solution

q2 + 12q + 36
= (q)2 + 2 × q × 6 + (6)2
= (q + 6)2 [a2 + 2ab + b2 = (a + b)2]
= (q + 6) (q + 6)
∴ q2 + 12q + 36 = (q + 6) (q + 6)

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