Sum of binomial coefficient in a particular expansion is 256, then number of terms in the expansion is:

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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 23 | Page 47

Expand the following by using binomial theorem.

(2a – 3b)⁴

Find the middle terms in the expansion of

`(3x + x^2/2)^8`

Find the term independent of x in the expansion of

`(x - 2/x^2)^15`

Find the Co-efficient of x¹¹ in the expansion of `(x + 2/x^2)^17`

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

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

Using binomial theorem, indicate which of the following two number is larger: `(1.01)^(1000000)`, 10

Find the coefficient of x¹⁵ in `(x^2 + 1/x^3)^10`

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

If the binomial coefficients of three consecutive terms in the expansion of (a + x)ⁿ are in the ratio 1 : 7 : 42, then find n