If x = 2 then the value of x3 + 27x2 + 243x + 631 is

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If x = 2 then the value of x³ + 27x² + 243x + 631 is

1. 1233
2. 1211
3. 1231
4. 1321

Correct Option: A

Using Rule 8,
x³ + 27x² + 243x + 631 = x³ + 3 . x² × 9 + 3x.9² + 9³ - 9³ + 631
x³ + 27x² + 243x + 631 = (x + 9)³ - 729 + 631
x³ + 27x² + 243x + 631 = (2 + 9)³ – 98 { x = 2( Given ) }
x³ + 27x² + 243x + 631 = 11³ – 98 = 1331 – 98 = 1233