Mathematics
Factorise the following:
a4 - 11a2 + 10
Factorisation
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Answer
Factorising we get,
a4 - 11a2 + 10 = a4 - 10a2 - a2 + 10.
= a2(a2 - 10) - 1(a2 - 10)
= (a2 - 10)(a2 - 1)
= (a2 - 10)(a - 1)(a + 1)
Hence, a4 - 11a2 + 10 = (a2 - 10)(a - 1)(a + 1).
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