Sum of the binomial coefficients is

MCQ

2ⁿ

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Binomial Theorem

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Chapter 2: Algebra - Exercise 2.7 [Page 47]

Chapter 2 Algebra
Exercise 2.7 | Q 25 | Page 47

The constant term in the expansion of `(x + 2/x)^6` is

The last term in the expansion of (3 + √2 )⁸ is:

Expand `(2x^2 - 3/x)^3`

Expand `(2x^2 -3sqrt(1 - x^2))^4 + (2x^2 + 3sqrt(1 - x^2))^4`

Compute 99⁴

Compute 9⁷

Find the constant term of `(2x^3 - 1/(3x^2))^5`

If n is a positive integer, using Binomial theorem, show that, 9ⁿ⁺¹ − 8n − 9 is always divisible by 64

If n is a positive integer and r is a non-negative integer, prove that the coefficients of x^r and x^n−r in the expansion of (1 + x)ⁿ are equal

In the binomial expansion of (1 + x)ⁿ, the coefficients of the 5^th, 6^th and 7^th terms are in AP. Find all values of n