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Difference of Squares
Factoring Difference of Squares
10
Mathematics
8th Grade
11/20/2012

Additional Mathematics Flashcards

 


 

Cards

Term
Factor x2 - 9 completely.
Definition
(x)2 - (3)2 = (x + 3)(x - 3)
Term
Factor 4n2 - 49 completely.
Definition
(2n)2 - (7)2 = (2n + 7)(2n - 7)
Term
Factor n4 - 16 completely.
Definition

(n2)2 - (4)2 = (n2 + 4)(n2 - 4)

                                 (n)2 - (2)2

                               (n2 + 4)(n + 2)(n - 2)

 

Term
Factor  3x2 - 27 completely.
Definition

GCF: 3

3(x2 - 9)

     (x)2 - (3)2

3(x + 3)(x - 3)

Term
Factor 4x2 - 25 completely
Definition
(2x)2 - (5)2 = (2x + 5)(2x - 5)
Term
Factor 36 - 25y4 completely.
Definition
(6)2 - (5y2)2 = (6 + 5y2)(6 - 5y2)
Term
Factor 4x2 - 32 completely.
Definition

GCF is 4

4(x2 - 8)

Done.  (x2 - 8) is not a difference of squares.

Term
Factor 5x2 - 5 completely.
Definition

GCF is 5

5(x2 - 1)

    (x)2 - (1)2

5(x + 1)(x - 1)

Term
Factor 2x2 - 9 completely.
Definition
Cannot factor.  No GCF and is not a difference of squares. The coefficient "2" is not a perfect square.
Term
Factor x10 - 16 completely
Definition
(x5)2 - (4)2 = (x5 + 4)(x5 - 4)
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