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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 6x + 9
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Solution
We have,
x2 + 6x + 9
= x2 + 2 × 3 × x + 32
= (x + 3)2 ...[∵ a2 + 2ab + b2 = (a + b)2]
= (x + 3)(x + 3)
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