Question

The number of prime factors of the coefficient of x⁸ in the expansion of (1 – 2x + 3x² – 4x³ + 5x⁴ – 6x⁵ + 7x⁶)⁶is-

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

Answer: (B)

4

Answer 2

The coefficient of x⁸ in the expansion of

(1 + x)^–12 + 6(1 + x)^–10 (8x⁷ – 9x⁸) .... is 75048

= 2³ × 3 × 53 × 59.