JEE Main 2024 Mathematics question
In the expansion of , x ≠ 0, the sum of the coefficients of x³ and x⁻¹³ is equal to .
Answer: 118
Solution
1 + 3/x + 3/x² + 1/x³ = (1 + 1/x)³ = (1 + x)³/x³, so the fifth power is (1 + x)¹⁵/x¹⁵. The expression becomes (1/x¹⁵)(1 + x)(1 − x)(1 + x)(1 + x)¹⁵ = (1 − x)(1 + x)¹⁷/x¹⁵ = (1 +
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