Lecture-5

Binomial Theorem Lecture 5
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Part - 1

Miscellaneous Exercise

Question 1. Find a, b and n in the expansion of (a+b)^n if the first three terms of the expansion are 729, 7290 and 30375, respectively.

Question 3. Find the coefficient of x^5 in the product (1+2x)^6(1-x)^7 using binomial theorem.

Question 4. If and b are distinct integers, prove that (a-b) is a factor of a^n-b^n, whenever n is a positive integer.

Binomial Theorem Lecture 5
Play Video

Part - 2

Miscellaneous Exercise

Question 8. Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of \left ( \sqrt[4]{2}+\ \frac{1}{\sqrt[4]{3}} \right )^n is \sqrt{6} : 1.

Question 9. Expand using Binomial Theorem \left ( 1 + \frac{x}{2}- \frac{2}{x} \right )^4 , x \ne 0.

Question 10. Find the expansion of (3x^2-2ax+3a^2)^3 using binomial theorem.