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

Home » Aptitude » Algebra » Question

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

1. 999
2. 9999
3. 99999
4. 999999

Correct Option: D

Using Rule 8
Expression = p(p² + 3p + 3)
Expression = (p³ + 3p² + 3p + 1) – 1
Expression = (p + 1)³ – 1 = (99 + 1)³ – 1
Expression = (100)³ – 1= 1000000 – 1 = 999999