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Question
Factorise the following using suitable identity
36m2 + 60m + 25
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Solution
36m2 + 60m + 25 = 62m2 + 2 × 6m × 5 + 52
This expression is of the form of identity
a2 + 2ab + b2 = (a + b)2
(6m)2 + (2 × 6m × 5) + 52
= (6m + 5)2
36m2 + 60m + 25 = (6m + 5)(6m + 5)
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