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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
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Solution
We have,
4x4 + 12x3 + 9x2
= x2(4x2 + 12x + 9)
= x2[(2x)2 + 2 × 2x × 3 + 32]
= x2(2x + 3)2
= x2(2x + 3)(2x + 3)
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