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A binomial is an algebraic expression of two terms which are connected by a '+' or ' ' sign.
Eg: are binomials.

We have already learnt the identities like
But higher powers of binomials like will not be able to remember their formulae. This is where binomial theorem comes to our help.
The binomial theorem for all values of n was first brought in by Sir Isaac Newton.
The ancient Indian mathematicians knew about the coefficients of  up to n = 7.
They arranged these coefficients in the form of a diagram called “Meru-Prastara”.
This is provided by Pingala in his book Chhanda Shastra (200 B.C.).
for finding the number of combinations of
n syllables taken 1,2,3,4,.... n at a time.

Sir Isaac Newton


The Arithmetic triangle, popularly called Pascal's triangle and similar to Meru-Prastara of Pingla was constructed by the French mathematician Blaise Pascal in 1665. The present form of binomial theorem for integral powers of n is found in book written by Pascal, published much later after his death.

Blaise Pascal


Did you know?
The so called 'Pascal' triangle was known in China as early as 1261. In '1261' the triangle appears to a depth of six in Yang Hui and to a depth of eight in Zhu Shijiei in 1303. They used it as we do, as a means of generating the binomial coefficients.

Yang Hui

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