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Question
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
y2 – 14y + 49
Solution
We have,
y2 – 14y + 49 = y2 – 2 · y · 7 + 72
= (y – 7)2
= (y – 7)(y – 7)
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