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Question
Factorise.
(x2 − 2xy + y2) − z2
Sum
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Solution
(x2 − 2xy + y2) − z2
Using the identity (a − b)2 = a2 − 2ab + b2
= (x − y)2 − z2
Using the identity a2 − b2 = (a − b) (a + b)
= (x − y − z) (x − y + z)
= [a2 − b2 = (a − b) (a + b)]
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Chapter 12: Factorisation - EXERCISE 12.2 [Page 151]
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