Chapter 7
If a and b are distinct integers, prove that a - b is a factor of an - bn, whenever n is a positive integer. [Hint write a n = (a - b + b)n and expand]
| Evaluate ( ) ( ) | 6 | 6 |
|---|
3 2 3 2+ − − .
| Find the value of ( ) ( ) | 4 | 4 |
|---|
2 2 2 21 1a a a a+ − + − − .
Find an approximation of (0.99)5 using the first three terms of its expansion.
Expand using Binomial Theorem 21 02 x , xx + − ≠ .
Find the expansion of (3x2 - 2ax + 3a2)3 using binomial theorem.