| |
|
|
| |
 |
| Introduction |
|
| A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. |
| |
| For example, x - y, a + 3b, x3 + 4y etc. are binomials. |
| |
| We know that, |
| |
 |
| |
 |
| |
 |
| |
 |
| |
 |
| |
| For n = 1,2,3,4, the expansion of (a + b)n, has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conjecture that (a + b)n should be expressible in the form |
| |
for every natural number n. |
| |
| In fact, this conjecture is valid and we establish it by using the principle of mathematical induction. |
| |
|
|
| |
|
|
| |
|
|
|
