Factoring The Difference Of Two Perfect Squares

                    Lesson 1

                                                                                                                                                                          

                                                            Problem:                   Solve: a2-36

                                                            Solution                    Both a2 and 36 are perfect squares. 

Step 1:  

                     

                                                                                Solution                          What times itself will give a2? The answer is a.

                                                            Step 2:                        

                                                                                                What times itself will give 36? The answer is 6.

 

                                                                                Solution                           The factors are: (a-6)(a+6)

Step 3:           

             

                                                            Solution                    The answer is:  (a-6)(a+6)

                                                                     

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

            Solve:

 

A. a2- 4   

 

B. b2- 64

 

 

        

 

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