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Question
Factorise the following using suitable identity
64x2 – 112xy + 49y2
Solution
64x2 – 112xy + 49y2 = 82x2 – (2 × 8x × 7y) + 72y2
This expression is of the form of identity
a2 – 2ab + b2 = (a – b)2
(8x)2 – (2 × 8x × 7y) + (7y)2 = (8x – 7y)2
64x2 – 112xy + 49y2 = (8x – 7y)(8x – 7y)
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