Binomial Totally Explained

Everything about Binomial totally explained

In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials. It is the simplest kind of polynomial except for a monomial.
The binomial

a^2 - b^2

can be factored as the product of two other binomials: ť

a^2 - b^2 = (a + b)(a - b).

(This is a special case of the more general formula

a^

.)
The product of a pair of linear binomials a x + b and c x + d is: ť

(a x + b)(c x + d) = a c x^2 + (a d + b c) x + b d.

A binomial raised to the n^th power, represented as ť

(a + b)^n

can be expanded by means of the binomial theorem or, equivalently, using Pascal's triangle.

Example

A simple but interesting application of the cited binomial formula is the "(m,n)-formula" for generating Pythagorean triples: for m < n, let

a=n^2-m^2, b=2mn, c=n^2+m^2

, then

a^2+b^2=c^2

Further Information

Get more info on 'Binomial'.

External Link Exchanges

Do you know how hard it is to get a link from a large encyclopaedia? Well we're different and will prove it. To get a link from us just add the following HTML to your site on a relevant page:

<a href="http://binomial.totallyexplained.com">Binomial Totally Explained</a>

Then simply click through this link from your web page. Our crawlers will verify your link, extract the title of your web page and instantly add a link back to it. If you like you can remove the words Totally Explained and embed the link in article text.
As long as your link remains in place, we'll keep our link to you right here. Please play fair - our crawlers are watching. Your site must be closely related to this one's topic. Any kind of spamming, dubious practises or removing the link will result in your link from us being dropped and, potentially, your whole site being banned.