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

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

1. 5
2. 10
3. 15
4. 20

Correct Option: B

x = 11 (Given)
∴ 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
When x = 11,
= 11⁵ – 11⁵ - 11⁴ + 11⁴ + 11³ – 11³ - 11² + 11² + 11 – 1
= 0 - 0 + 0 - 0 + 10 = 10