How Do You Expand a Power of a Binomial Sum Using the Binomial Theorem?

How Do You Expand a Power of a Binomial Sum Using the Binomial Theorem?

Note:

Keywords:

  • problem
  • binomial theorem
  • binomial sum
  • expand
  • power

Background Tutorials

  • Write and evaluate numerical expressions involving whole-number exponents.

      • How Do You Evaluate an Exponent?How Do You Evaluate an Exponent?

      How Do You Evaluate an Exponent?

      Exponents just indicate repeated multiplication. Watch this tutorial to see how you can evaluate an exponent by first writing it in expanded form. Take a look!

  • Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

      • What's a Coefficient?What's a Coefficient?

      What's a Coefficient?

      There is a bunch of vocabulary that you just need to know when it comes to algebra, and coefficient is one of the key words that you have to feel 100% comfortable with. Check out the tutorial and let us know if you want to learn more about coefficients!

      • What's a Term?What's a Term?

      What's a Term?

      Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers. When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is 'term'. So check out this tutorial, where you'll learn exactly what a 'term' in a polynomial is all about.

  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.

      • What are Exponents?What are Exponents?

      What are Exponents?

      Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

      • How Do You Take a Monomial to a Power?How Do You Take a Monomial to a Power?

      How Do You Take a Monomial to a Power?

      Got a monomial raised to a power? Want to simplify it? You could use the power of a product rule. You may also need the power of a power rule too. In this tutorial, you'll see how to simplify a monomial raise to a power.

      • What is a Polynomial?What is a Polynomial?

      What is a Polynomial?

      If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.