How Do You Multiply Monomials?

How Do You Multiply Monomials?

Note:

Multiplying monomials? Group constants and like variables together before you multiply. See how to find the product of three monomials in this tutorial.

Keywords:

  • problem
  • polynomial
  • multiply
  • monomials
  • multiply monomials
  • product of powers
  • simplest form
  • simplify

Background Tutorials

  • Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

      • What are the Associative Properties of Addition and Multiplication?What are the Associative Properties of Addition and Multiplication?

      What are the Associative Properties of Addition and Multiplication?

      The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

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

      • What's the Product of Powers Rule?What's the Product of Powers Rule?

      What's the Product of Powers Rule?

      Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you multiply the same number raised to different exponents!

Further Exploration

  • 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.

  • Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + (r(x)/b(x)), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.