1. Factoring the Difference of Two Squares
Review: Multiply
1.) (x + y)(x - y)  2.) (x + 5)(x - 5)
Recognizing the Difference of Two Square:
 1.) Must have two terms
 2.) Each term must be a perfect square
 3.) Must have a MINUS sign between the terms

2. x2- 4 x2 - 25 Factoring the difference of Two Square:
 1.) The factors are two binomials  
 2.) One is the sum of the square roots of each 
 term
 3.) The second is the difference of the square roots 
  of each term
x2- 4
x2 - 25

3. 1.) m6 - 16n2 *5.) 49x4 - 9x6 4.) 36 - x2 3.) 36x2 - 25y6 *6.) x2 + y8
2.) 9a8b4 - 49
1.) m6 - 16n2
4.) 36 - x2
3.) 36x2 - 25y6
*5.) 49x4 - 9x6
*6.) x2 + y8

4. Review: 1.) (x + y)2 2.) (y -3)2 Factoring a Perfect Square Trinomial
Recognizing a perfect square trinomial:
 1.) First term is the first terms squared
 2.) Last term is the last terms squared
 3.) Middle term is twice the product of the first 
 and last term

5. x2 +10x + 25 Factoring a perfect square trinomial:
 1.) The factors are the same binomials  
 2.) The first term is the square root of the first 
 term 
 3.) The second is the square root of the last term
x2 +10x + 25

6. 1.) x2 +2ax + a2 3.) x2 +8x + 16 4.) 9x2 +6x + 1 *5.) 9x2 -18x + 9

7. Solve the following quadratic equations.
1.) 3x2 = -18x - 27  2.) 6y = 0