Factoring the Difference of Two Squares

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Presentation transcript:

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

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

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

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

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

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

Solve the following quadratic equations. 1.) 3x2 = -18x - 27  2.) 6y2 - 24 = 0