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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 24x + 16
Solution
We have,
9x2 + 24x + 16
= (3x)2 + 2 · 3x · 4 + 42
= (3x + 4)2
= (3x + 4)(3x + 4)
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