simlplify the following

Question

〈 x⁸_- 8x⁸〉^-2

3/20/2014 | Emilyn from New York, NY | 1 Answer | 0 Votes

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.

3/20/2014 | Kay G.

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.

3/20/2014 | Parviz F.

There's parenthesis around it!

3/21/2014 | Kay G.

Answer 1

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)

3/20/2014 | Parviz F.

x⁸ - 8x^(8-2) = x⁸ - x⁶

You kinda dropped an 8 out of there.

3/20/2014 | Kay G.

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)

3/20/2014 | Parviz F.