Explanation Given: [ ( x + y ) − 6 ] [ ( x + y ) + 6 ] Calculation: Rule for difference of squares ( A + B ) ( A − B ) = A 2 − B 2 FOIL is the method used for multiplying two binomials.FOIL stands for "first", "outer", "inner", "last". First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. Inner means multiply the innermost two terms. Last means multiply the terms which occur last in each binomial. Step 1: [ ( x + y ) − 6 ] [ ( x + y ) + 6 ] ; We pattern match it with formula ( A + B ) ( A − B ) = A 2 − B 2 A = ( x + y ) ; B = 6 Step 2: ( A + B ) ( A − B ) = A 2 − B 2 [ ( x + y ) − 6 ] [ ( x + y ) + 6 ] = ( x + y ) 2 − 6 2 = ( x + y ) 2 − 36 Step 3: ( x + y ) 2 = ( x + y ) ( x + y ) ; We use FOIL method to expand ( x + y ) ( x + y )

6th Edition

ISBN: 9781264418756

Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy

Publisher: McGraw Hill

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Chapter 4.3, Problem 66PE

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[(x+y)−6][(x+y)+6]

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Chapter 4.3, Problem 65PE

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ISE Intermediate Algebra

Ch. 4.1 - a. A(n)_____________ is used to show repeated...Ch. 4.1 - Prob. 2PE Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE Ch. 4.1 - For exercises 4-9, write an example of each...Ch. 4.1 - Prob. 6PE Ch. 4.1 - Prob. 7PE Ch. 4.1 - Prob. 8PE Ch. 4.1 - Prob. 9PE Ch. 4.1 - Prob. 10PE

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