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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 12x + 9
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Solution
We have,
4x2 + 12x + 9
= (2x)2 + 2 × 2x × 3 + 32
= (2x + 3)2
= (2x + 3)(2x + 3)
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