The middle term in the expansion of (x+1x)10 is

The middle term in the expansion of `(x + 1/x)^10` is

MCQ

10C₅

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Binomial Theorem

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Chapter 2: Algebra - Exercise 2.7 [Page 46]

Chapter 2 Algebra
Exercise 2.7 | Q 11 | Page 46

Evaluate the following using binomial theorem:

(101)⁴

Show that the middle term in the expansion of is (1 + x)²ⁿ is `(1*3*5...(2n - 1)2^nx^n)/(n!)`

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

Compute 9⁷

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

Find the coefficient of x² and the coefficient of x⁶ in `(x^2 -1/x^3)^6`

Find the coefficient of x⁴ in the expansion `(1 + x^3)^50 (x^2 + 1/x)^5`

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

If n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of (x + y)ⁿ are equal

Prove that `"C"_0^2 + "C"_1^2 + "C"_2^2 + ... + "C"_"n"^2 = (2"n"!)/("n"!)^2`