1
Question
Factorise:
(14) 1 + 12q + 36q2
(14) 1 + 12q + 36q2
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Solution
1 + 12q + 36q2
= (1)2 + 2 × 1 × 6q + (6q)2
= (1 + 6q)2 [a2 + 2ab + b2 = (a + b)2]
= (1 + 6q) (1 + 6q)
∴ 1 + 12q + 36q2 = (1 + 6q) (1 + 6q)
= (1)2 + 2 × 1 × 6q + (6q)2
= (1 + 6q)2 [a2 + 2ab + b2 = (a + b)2]
= (1 + 6q) (1 + 6q)
∴ 1 + 12q + 36q2 = (1 + 6q) (1 + 6q)
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