Mathematics
Factorise the following:
(x - y)2 - 6(x - y) + 5
Factorisation
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Answer
Let (x - y) = a.
(x - y)2 - 6(x - y) + 5 = a2 - 6a + 5.
Factorising we get,
a2 - 6a + 5 = a2 - 5a - a + 5.
= a(a - 5) - 1(a - 5)
= (a - 5)(a - 1)
= (x - y - 5)(x - y - 1).
Hence, (x - y)2 - 6(x - y) + 5 = (x - y - 5)(x - y - 1).
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