Keep going. Everything you need will come to you at the perfect time.
NCERT Exercise 8.1 |
Question 4. \left ( \frac{x}{3}+\frac{1}{x} \right )^5
Question 5. \left ( x + \frac{1}{x} \right )^6
Using binomial theorem, evaluate each of the following:
Question 6. (96)^3
Question 7. (102)^5
Question 8. (101)^4
Question 9. (99)^5
Question 10. Using Binomial Theorem, indicate which number is larger (1.1)^{10000} or 1000.
Question 11. Find (a+b)^4 -(a-b)^4. Hence, evaluate (\sqrt{3}+\sqrt{2})^4-(\sqrt{3}-\sqrt{2})^4 .
Question 12. Find (x+1)^6+(x-1)^6. Hence or otherwise evaluate (\sqrt{2}+1)^6-(\sqrt{2}-1)^6 .
Question 13. Show that 9^{n+1}-8n-9 is divisible by 64, whenever n is a positive integer.
Question 14. Prove that \sum_{r=0}^{n} 3^r {^nC_r} = 4^r.