Difference of Squares
In algebra, the difference of squares is a special case of factoring that occurs when you have a binomial expression of the form a2 - b2. This expression can be factored into the product of two binomial factors, (a + b) and (a - b).
Factorization
To factor the difference of squares expression a2 - b2, you can use the following formula:
a2 - b2 = (a + b)(a - b)
Example
Let's consider an example: Factor the expression 16x2 - 25y2.
Using the difference of squares formula, we can rewrite the expression as:
16x2 - 25y2 = (4x + 5y)(4x - 5y)
Study Guide
Here are some key points to remember when working with the difference of squares:
- Identify the binomial expression as a difference of squares, in the form a2 - b2.
- Use the formula a2 - b2 = (a + b)(a - b) to factor the expression.
- Always check your factored expression by multiplying the binomial factors to ensure you obtain the original expression.
Practice factoring various expressions using the difference of squares formula to improve your understanding and mastery of this concept.
.◂Math Worksheets and Study Guides Eighth Grade. Theoretical probability and counting
Study Guide
Theoretical probability and counting 
Worksheet/Answer key
Theoretical probability and counting Worksheet/Answer key
Theoretical probability and counting Worksheet/Answer key
Theoretical probability and counting
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
DATA ANALYSIS, STATISTICS, AND PROBABILITY
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Understand and use appropriate terminology to describe independent, dependent, complementary, and mutually exclusive events.
For events with a large number of outcomes, understand the use of the multiplication counting principle. Develop the multiplication counting principle and apply it to situations with a large number of outcomes.