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When a > 5 and b ≤ 5, a@b = (a + b)(a - b), and when a ≤ 5 and b > 5, a@b = (b + a)(b - a).  What is the value of 2*((2 @ 6) @ -4) -1?

 Oct 27, 2014

Best Answer 

 #1
avatar+23254 
+5

2*( (2 @ 6) @ -4 ) - 1

2 @ 6  =  (6 + 2)(6 - 2)  =  (8)(4)  =  32   because a ≤ 5 and b > 5

=  2*( 32 @ -4 ) - 1

32 @ -4  =  (32 + -4)((32 - -4)  =  (28)(36)  =  1008  because a > 5 and b ≤5

=  2*(1008) - 1

=  2016 - 1

=  2015

 Oct 27, 2014
 #1
avatar+23254 
+5
Best Answer

2*( (2 @ 6) @ -4 ) - 1

2 @ 6  =  (6 + 2)(6 - 2)  =  (8)(4)  =  32   because a ≤ 5 and b > 5

=  2*( 32 @ -4 ) - 1

32 @ -4  =  (32 + -4)((32 - -4)  =  (28)(36)  =  1008  because a > 5 and b ≤5

=  2*(1008) - 1

=  2016 - 1

=  2015

geno3141 Oct 27, 2014

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