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If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .
Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n If the index of the binomial is n then the expansion contains ________ term. Correct Answer Is : N + 1 In each term the sum of indices a and b is ___________ n. Correct Answer Is : Always True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd. Correct Answer Is : TRUE Coefficients of the term in the binomial expansion equidistant from both the ends are? Correct Answer Is : Equal If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ . Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n Expand: ( x∧2 + 3y)∧5 Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5 Evaluate: ( √5 + √3)∧4 Correct Answer Is : 124 + 32 √15 By using binomial theorem, find the value of (99)∧4. Correct Answer Is : 96059601 Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5 Correct Answer Is : 82 