How Do You Interpret Binomial Theorem

The Binomial theorem tells us how to expand expressions of the form (a+b)ⁿ, for example, (x+y)⁷. The larger the power is, the harder it is to expand expressions like this directly.

How do you read a binomial theorem?

1. We will use the simple binomial a+b, but it could be any binomial.
2. (a+b)2 = (a+b)(a+b) = a2 + 2ab + b2
3. (a+b)3 = (a2 + 2ab + b2)(a+b) = a3 + 3a2b + 3ab2 + b3
4. a3 + 3a2b + 3ab2 + b3
5. Now, notice the exponents of a. …
6. Likewise the exponents of b go upwards: 0, 1, 2, 3:

Why do we use binomial theorem?

The binomial theorem (or binomial expansion) is a result of expanding the powers of binomials or sums of two terms. … The theorem and its generalizations can be used to prove results and solve problems in combinatorics, algebra, calculus, and many other areas of mathematics.