Maclaurin Series Binomial Theorem

If you are discovering that, your polynomials are looking like your binomials then this page will help to sort out the confusion. A quadratic equation can also appear as a series expansion. It is perfectly normal and valid according to the maths doctor. The number of terms is of course finite, but there is a definite pattern to the series. Mathematicians call these closed polynomials because they contain a finite number of terms.

Humans in 2nd century BC, in ancient India, first discovered the sequence of numbers in this series. The ancient manuscript, known as the Chandas Shastra, documents the works on combinatory and binomial numbers.

Humans should be able to do this in their heads, however on the primate evolutionary scale; we have taken a step backwards, because we rely on technology more. Moreover, we also have the politicians to thank for meddling with the education system, and then of course there is the corruption, cheating, and prejudice. The Zager and Evans forecast was very conservative. The way things are going, in the year 2525 very few people will even know how a pen works, everything will be copy and paste.

Today, the highest qualified from the most expensive university (not necessarily the best) would just be able to multiply out the fifth power of the binomial theorem, after fumbling around with a pencil and paper for hours.

Binomial Theorem

Here is the binomial series expansion for any power n. This shows the first four terms. The rest of the terms are below.

Just for fun, see if you can figure out the next term.