The binomial theorem states that any positive integer (say n):
The sum of any two integers (say a and b), raised to the power of n, can be expressed as the sum of (n+1) terms as follows.
The reason behind using this formula can be explained by some expansion patterns. Let us consider a polynomial (a+b).
On multiplying this polynomial (a+b) by itself, that is,
(a+b)*(a+b), the result so obtained is as follows.
On multiplying the resulting polynomial by (a+b), the following result is obtained.
(a2+b2+2ab) * (a+b)
On multiplying this above result by (a+b), the following polynomial is obtained.
The same results of polynomial multiplication are obtained when the formula of the binomial theorem is used for the same. For a better understanding download the below PDF for free and refer to the solved binomial theorem JEE Advanced important questions.
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