If p = 99, then the value of p(p2 + 3p + 3) is

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If p = 99, then the value of p(p² + 3p + 3) is

1. 10000000
2. 999000
3. 999999
4. 990000

Correct Option: C

Using Rule 8,
p = 99 (Given)
∴ p(p² + 3p + 3) = p³ + 3p² + 3p
= p³ + 3p² + 3p + 1 - 1
= (p + 1)³ - 1 = (99 + 1)³ - 1
∴ p(p² + 3p + 3) = 100³ – 1 = 999999