Showing posts with label binomial theorem. Show all posts
Showing posts with label binomial theorem. Show all posts

Monday, August 9, 2010

binomial theorem

Do you guys know which is the most important application in mathematics which is used to solve higher powers like(99) rise to power 7? It is binomial theorem. It would have been very difficult to solve higher power using repeated multiplication without Binomial theorem.

The binomial theorem explains the power of the binomial. Binomial coefficient is the resulting coefficient of the expression. By using binomial theorem we can raise the power. For example, (x+y) is a binomial.

Look at some Binomial Expansions

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

Binomial theorem helps us expand binomials to any given power without direct multiplication. Direct Multiplication can be time-consuming or even not possible in some cases.

We will work on some solved examples in our next post. Guys along with mathematics work on even spoken english exercises they will help you speak more fluently.