Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x + 18 3) 49y 2 + 56y + 16 4) 5xy + 15x + 4y + 12.

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Presentation transcript:

Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x ) 49y y ) 5xy + 15x + 4y + 12

10-4 Factoring Difference of Squares Objective: To identify and factor binomials that are the difference of two squares. Standard 11.0

Remember… Do you remember…. So….

Recognizing a Difference of Squares 1 st term is a perfect square 2 nd term is a perfect square Subtraction Answer… Example 1: Factor.

LTT: IS IT A DIFFERENCE OF SQUARES? If so… factor it. 1) x 2 – 4 2) 9x 2 – 1 3) 2x 2 – 4 4) 2x 2 – 8 5) x 2 + y 2 6) x 3 – 25 7) 9xy – y 2 8) x 2 9) -4 – 16x 2 10) x 4 – 81 1) YES  2) YES  3) NO √2 4) YES 2(x 2 – 4) -  5) NO Adding 6) NO x 3 7) NO x 8) YES x 2 –  9) NO -(4 + 16x 2 ) 10) YES √x 4 = x 

Example 2 1.Factor out the GCF: 2.Rewrite the polynomial: 3.Factor the difference of squares inside of the parenthesis: 4.Don’t forget about the GCF on the outside

TOO: Factor 1) 25x 2 – 121 2) 16x 4 – y 2 3) x 2 4) 4x 2 – 9y 2 5) 3x 3 – 12x

Factor & List which process(es) you used. GCF Grouping X-Box Perfect Square Trinomial Difference of Squares

Factor & List which process(es) you used. GCF Grouping X-Box Perfect Square Difference of Squares

Homework Pg. 584 #22-39 all