The last term in the expansion of (3 + √2 )8 is: - Business Mathematics and Statistics

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

MCQ

Explanation:

`(sqrt2)^8 = (2^(1/2))^8 = 2^4 = 16`

shaalaa.com

Binomial Theorem

Is there an error in this question or solution?

Chapter 2: Algebra - Exercise 2.7 [Page 46]

Chapter 2 Algebra
Exercise 2.7 | Q 13 | Page 46

Expand the following by using binomial theorem.

(2a – 3b)⁴

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

Compute 102⁴

Compute 99⁴

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

Find the last two digits of the number 3⁶⁰⁰

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 (a + b)ⁿ, if the coefficients of the 4^th and 13^th terms are equal then, find n

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

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