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Question
Factorise the following using suitable identity
x2 – 8x + 16
Sum
Solution
x2 – 8x + 16 = x2 – (2 × 4 × x) + 42
This expression is in the form of identity
a2 – 2ab + b2 = (a – b)2
x2 – 2 × 4 × x + 42 = (x – 4)2
∴ x2 – 8x + 16 = (x – 4)(x – 4)
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Chapter 3: Algebra - Exercise 3.1 [Page 62]
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