Mathematics
Factorise the following:
(x - y)2 - 9
Factorisation
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Answer
(x - y)2 - 9 = (x - y)2 - (3)2.
Using identity,
a2 - b2 = (a + b)(a - b).
(x - y)2 - (3)2 = (x - y + 3)(x - y - 3).
Hence, (x - y)2 - 9 = (x - y + 3)(x - y - 3).
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