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the coefficient of x in the expansion of x 1x 5 is
Question:
The coefficient of x³² in the expansion of (x⁴-1x³)¹5
is
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Always equate power of x with required power.
BITSAT - 2010
BITSAT
Updated On:
Mar 18, 2026
-15C₃
15C₄
-15C₂
15C₅
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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
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