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:

A = B 3 Explanation: Put x = 1, we get A = (1 – 3 + 10) n = B n and B = (1 + 1) n = 2 n Clearly A = 8 n = (2 n ) 3 = B 3

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JEE 2024 — Mathematics PYQ

JEE | Mathematics | 2024

If A denotes the sum of all the coefficients in the expansion of $(1 - 3 x + 10 x^{2})^{n}$ and B denotes the sum of all the coefficients in the expansion of $(1 + x^{2})^{n}$ ,then: