Ncert Solutions for Class 11 Binomial Theorem

Ncert Solutions for Class 11

Binomial Theorem

• Exercise 7.1

• Miscellaneous Exercise

Binomial Theorem

Miscellaneous Exercise

1. 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.

2. Evaluate ((sqrt{3}+sqrt{2})^6-(sqrt{3}-sqrt{2})^6).

3. Find the value of ((a^2+sqrt{a^2-1})^4+(a^2-sqrt{a^2-1})^4).

4. Find an approximation of ((0.99)^5) using the first three terms of its expansion.

5. Expand using Binomial Theorem ((1+frac{x}{2}-frac{2}{x})^4), x≠0.

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