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Course: Algebra II / Elementary Algebra
Topic: Exponents and Polynomials
Subtopic: Polynomial Operations IV - Special Products

Overview

When you multiply two binomials that have similar terms in each then rather than FOIL you can use formulae that are derived from FOIL. These are called special product formulae. Note that you don't have to use them, but many people find them useful. For instance, you could just FOIL (x+y)(x+y) and simplify rather than using the binomial squared formula to expand.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 6.6.1 Recognize these special forms: binomial squared, perfect square trinomial, difference of two squares
• 6.6.2 Use the special product formulae to multiply binomials when applicable

Terminology

MEMORIZE these special product formulae:

 Binomial Squared: (x+y)^2=x^2+2xy+y^2 (x-y)^2=x^2-2xy+y^2 Difference of Squares: (x+y)(x-y)=x^2-y^2