# Difference of Perfect Squares Worksheets

How to Find the Difference of Perfect Squares? The concept of the binomial theorem has resolved many small problems which help in solving complex problems easily. One of the major easiness is the factor formula for finding the difference between two perfect squares. In other words, to factor the difference between two perfect squares, then the sum and difference of the two square roots factor the binomial. For instance, you are given the problem of 9x2-16, now you need to find the difference in the perfect square. The first step is to find the square root of each function, which is the 3x and 4. Now, we can write the sum and difference of roots. 9x2 - 16 = (3x+4)(3x-4)

• ### Basic Lesson

Demonstrates how to factor the difference of two perfect squares. Since subtraction is occurring between these squares, this expression is the difference of two squares.

• ### Intermediate Lesson

Explores how to evaluate complex differences of two perfect squares that include operators.

• ### Independent Practice 1

Contains 20 Difference of Perfect Squares problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Difference of Perfect Squares problems.

• ### Homework Worksheet

Difference of Perfect Squares problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Difference of Perfect Squares problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Apple Trees

Three people picked 65 apples altogether. At the first tree they each picked the same number of apples. At the second tree they each picked 3 times as many as they picked at the first tree. When they finished at the third tree, the group had 5 times as many apples as they had when they started at that tree. At the fourth tree the group picked just 5 apples. How many apples did each person pick at the first tree?
Answer: Each person picked 1 apple at the first tree.