JEE Main 2024 Mathematics question
If A denotes the sum of all the coefficients in the expansion of and B denotes the sum of all the coefficients in the expansion of , then:
Answer: (D)
Solution
Putting x = 1: A = (1 − 3 + 10)ⁿ = 8ⁿ and B = (1 + 1)ⁿ = 2ⁿ. So A = (2³)ⁿ = (2ⁿ)³ = B³.