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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
16x2 + 40x + 25
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Solution
We have,
16x2 + 40x + 25
= (4x)2 + 2 × 4x × 5 + 52
= (4x + 5)2
= (4x + 5)(4x + 5)
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