Mathematics
Factorisation of p4 - 81 is
(p2 - 9)(p2 + 9)
(p - 3)(p + 3)(p2 + 9)
(p - 3)2(p + 3)2
none of these
Factorisation
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Answer
p4 - 81 = (p2)2 - (9)2.
We know that,
a2 - b2 = (a + b)(a - b).
∴ (p2)2 - (9)2 = (p2 - 9)(p2 + 9) = (p - 3)(p + 3)(p2 + 9).
Hence, Option 2 is the correct option.
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