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Evaluate $(1996)^2 - (1995)(1997)$.

 Jul 2, 2015

Best Answer 

 #1
avatar+100513 
+11

1996^2 - (1995)(1997)

 

1996^2  - (1996 - 1)(1996 + 1)

 

1996^2  - [ 1996^2  - 1]  =

 

1

 

Note that, in general...

 

a^2 - (a - 1) (a + 1)  =

 

a^2 - [a^2 - 1]  =  

 

1

 

 Jul 2, 2015
 #1
avatar+100513 
+11
Best Answer

1996^2 - (1995)(1997)

 

1996^2  - (1996 - 1)(1996 + 1)

 

1996^2  - [ 1996^2  - 1]  =

 

1

 

Note that, in general...

 

a^2 - (a - 1) (a + 1)  =

 

a^2 - [a^2 - 1]  =  

 

1

 

CPhill Jul 2, 2015
 #2
avatar+100800 
+1

Good thinking Chris  

 Jul 3, 2015

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