The Expression [x + (x3 - 1)1/2]5 + [x – (x3 – 1)1/2]5 is A Polynomial Of Degree

The coefficient of xn in the expansion of (1 + x) (1 – x)n is

Sum of coefficient in the expansion of (x + 2y + z)¹⁰ is

If the sum of the coefficients in the expansion of (1 – 3x + 10x²)ⁿ is A and it the sum of the coefficients in the expansion of (1 + x²)ⁿ

is B, then

The coefficient t²⁴ in (1 + t²)¹² (1 + t¹²) (1 + t²⁴) is

For natural number m, n if (1 – y)m (1 + y)n = 1 + a₁ y + a₂ y² +…..

and a₁ = a₂ = 10, them (m, n) is

If x is + ive, the first – ive term in the expansion of (1 + x)^27/5 is:

Coefficients of x¹¹ in the expansion of (2x² + x – 3)⁶ is

Coefficients of x¹⁰ in the expansion of (1 + x² – x³)⁸ is