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Question
Factorise.
p4 − 81
Sum
Solution
p4 − 81
= (p2)2 − (9)2
Using the identity a2 − b2 = (a − b) (a + b)
= (p2 − 9) (p2 + 9)
= (p2 − 32) (p2 + 9)
Again, using a2 − b2 = (a − b) (a + b)
= (p − 3) (p + 3) (p2 + 9)
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