It does not matter how slowly you go as long as you do not stop. – Confucius

Lecture - 5 Chapter 8 Binomial Theorem

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

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.