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**Binomial Theorem**is a quick way of expanding a Binomial Expression that has been raised to some power i.e ##(a+b)^n##. But why is it so important to expand ##(a+b)^n##. What is the practical use of this in Science and Engineering.

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- Thread starter 22990atinesh
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http://ualr.edu/lasmoller/Newton.html

Newton showed how to use fractional exponents; this leads to infinite series which converge if the exponent is between -1 and +1. In many cases the first few terms are used in approximations, especially if the expression is of the form (1+x)^n.

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http://ualr.edu/lasmoller/Newton.html

Newton showed how to use fractional exponents; this leads to infinite series which converge if the exponent is between -1 and +1. In many cases the first few terms are used in approximations, especially if the expression is of the form (1+x)^n.

Hello UltrafastPED,

The link that you gave didn't answered my question. My question isn't whether ##(a+b)^n## is important or ##(1+x)^n##. My question is Why there is so much need to solve equations like ##(a+b)^n## or ##(1+x)^n##, So that we have devised

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http://en.wikipedia.org/wiki/Pascal's_triangle

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http://en.wikipedia.org/wiki/Pascal's_triangle

You didn't understand my question. Please read my above comment on "

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I think you have a fundamental misunderstanding about mathematics. The binomial theorem wasn't devised because people were so overwhelmed with multiplying monomials together that they needed a better way to do them. The binomial theorem was devised because someone noticed that multiplying a series of identical monomials together gave certain coefficients to the various terms in the product. It was later discovered that these coefficients bore a certain relationship with the number of combinations one could have when selecting two or more objects. Later on, other properties were discovered when the binomial theorem was extended to non negative integer exponents. There are lots of things in mathematics which have no or very little practical application, but it's nice to have them sitting on the shelf when an application or use arises.

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