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Question
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
x2 – 8x + 16
Sum
Solution
We have,
x2 – 8x + 16 = x2 – 2 · x · 4 + 42
= (x – 4)2 ...[∵ a2 – 2ab + b2 = (a – b)2]
= (x – 4)(x – 4)
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]
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