Question:

The coefficient of x³² in the expansion of (x⁴-1x³)¹5 is

Show Hint

Always equate power of x with required power.
Updated On: Mar 18, 2026
  • -15C₃
  • 15C₄
  • -15C₂
  • 15C₅
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation


Step 1:
General term: Tᵣ+₁ = ¹⁵Cᵣ(x⁴)¹⁵⁻ʳ(-(1)/(x³))ʳ
Step 2:
Power of x: x⁶⁰⁻⁷ʳ
Step 3:
60-7r=32 r=4
Step 4:
Coefficient: ¹⁵C₄(-1)⁴ = -15C₂
Was this answer helpful?
0
0