| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2021 |
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| Session | June |
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| Topic | Trig Proofs |
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3. (i) Prove that for all single digit prime numbers, \(p\),
$$p ^ { 3 } + p \text { is a multiple of } 10$$
(ii) Show, using algebra, that for \(n \in \mathbb { N }\)
$$( n + 1 ) ^ { 3 } - n ^ { 3 } \text { is not a multiple of } 3$$