Binomial Theorem
Miscellaneous Exercise
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.