Emilyn C.

asked • 03/20/14

simlplify the following

⟨ x8 - 8x8⟩-2

Kay G.

tutor
Could you confirm the problem please?
 
Parviz's interpretatino is that it's x8 - 8x(8-2)
 
But it looks to me like the exponent of -2 outside the parenthesis:
 
(x8 - 8x8) -2
 
There is a vast difference between these.
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03/20/14

Parviz F.

They way is written only raises the X factor of the 2nd term to the power of ( 8-2) which is X^6 , not the whole expression.
 
 If it should be written other way , students should be aware of their writing.
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03/20/14

Kay G.

tutor
There's parenthesis around it!
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03/21/14

1 Expert Answer

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Parviz F. answered • 03/20/14

Tutor
4.8 (4)

Mathematics professor at Community Colleges

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X^8 - 8 X^ ( 8 -2) =
 
 Go to the Comment Section:
 X^8 - X^6 =
 
 X^6 ( X^2 - 1 ) = X ^6  ( X +1) ( X - 1)
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Kay G.

tutor
x8 - 8x(8-2) = x8 - x6  
 
You kinda dropped an 8 out of there.
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03/20/14

Parviz F.

You are right thank you:
 
  Correction willbe
 
  X ^8 - 8 X^6 = X^6 ( X^2 - 8 ) = X^6 ( X + 2 √2) ( X - 2 √2)
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03/20/14

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