jee_main_2024_31_jan_evening - Binomial Theorem Topics

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QUESTION #24 Series Expansion
Let the coefficient of x^r in the expansion of (x+3)ⁿ⁻¹ + (x+3)ⁿ⁻²(x+2) + (x+3)ⁿ⁻³(x+2)² + + (x+2)ⁿ⁻¹ be αᵣ. If Σr=0ⁿ αᵣ = βⁿ - γⁿ, where β, γ in N, then the value of β² + γ² equals
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