If x = 11, the value of x5 – 12x4 + 12x³

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If x = 11, the value of x⁵ – 12x⁴ + 12x³ – 12x² + 12x - 1 is

1. 11
2. 10
3. 12
4. –10

Correct Option: B

x⁵ – 12x⁴ + 12x³ – 12x² + 12x – 1
= x⁵ – (11 + 1) x⁴ + (11 + 1)x³ – (11 + 1)x² + (11 + 1) x – 1
= x⁵ – 11x⁴ – x⁴ + 11x³ + x³ – 11x² – x² + 11x + x – 1
= x – 1 = 11 – 1 = 10
[∵ x = 11]