Toggle navigation
Pre-K
Kindergarten
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
Middle School
High School
Phonics
Fun Games
Math
Math Games
Math Worksheets
Algebra
Language Arts
Science
Social Studies
Literature
Languages
Themes
Quizzes
Timelines
Login
Home
>
Quizzes
>
Algebra Quizzes
> Polynomials : Recognizing differences of squares Quiz
Polynomials : Recognizing differences of squares Quiz
Quiz
*Theme/Title:
Recognizing differences of squares
* Description/Instructions
This quiz focuses on recognizing differences of squares. A difference of squares is an expression like the following: A^2 - B^2. The following polynomials are differences of squares: b^2 - 49, 4t^2 - 9, c^2 - 25d^2.
For an expression to be written as a difference of squares, it must be of the form:
A^2 - B^2 = (A + B)(A - B)
To recognize whether or not an expression is a difference of squares, the first step is to make sure there are two expressions. The next step is to examine the two expressions A^2 and B^2 and make sure these two expressions are squares, for example, 9, y^2, 25x^4, 49t^2. (When the coefficient is a perfect square and the power of the variable is even, then the expression is a perfect square.) The next step is to make sure the two terms have different signs.
Example:
9x^2 - 64
We know that 9x^2 and 64 are squares.
The two terms have different signs. Therefore this is a difference of squares, which can be written as:
(3x - 8)(3x + 8)
Group:
Algebra
Algebra Quizzes
Topic:
Polynomials
Share
Related Links
All Quizzes
To link to this page, copy the following code to your site:
<a href="https://www.softschools.com/quizzes/algebra/recognizing_differences_of_squares/quiz5390.html">Recognizing differences of squares</a>