#### The Binomial Theorem (also called the Binomial Expansion Theorem) is a formula for finding any power of a binomial without having to do extensive multiplication operations. If you look at the word, it has "nomial" in it, which means that polynomial is involved one way or another. Yes, that is the case, a binomial is polynomial with two terms in it. For example, c^{2}+b^{2}. Now, what happens when we multiply two binomials many times? The calculation becomes more complex with no vision of ending.
In such circumstances, the concept of binomial theorem help. Let us explain in the form of an example. If we multiply, (a+b)(a+b) then we get an answer of a^{2} + 2ab + b^{2}. You can see here that the first variable's exponent starts with the largest power. The power reduces 1 by 1. On the other hand, the variable starts at 0 and it goes to the highest. In general, if we consider the number of terms as 'n' and exponents as 'k,' we can decide on a formula of a^{(n-k)} b^{k}.

These worksheets introduce a new notation for writing a combination, but overall the syntax used in these worksheets should look familiar to students who have a background in algebra. There are 6 worksheets in this set. Students will use the binomial theorem to expand mathematical expressions. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to use the Binomial Theorem. These worksheets explain how to use the Binomial Theorem to expand mathematical expressions. Sample problems are solved and practice problems are provided.