SOLUTION: The question is: simplify 4 + x^-1 ________ 64+ x^-3 I factored the terms and made the exponents positive. 4+x^1 ______ (4+x)(4-x)(4-x) x^3 minus

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The question is: simplify 4 + x^-1 ________ 64+ x^-3 I factored the terms and made the exponents positive. 4+x^1 ______ (4+x)(4-x)(4-x) x^3 minus       Log On


   

Question 277511: The question is:
simplify 4 + x^-1
________
64+ x^-3
I factored the terms and made the exponents positive.
4+x^1
______
(4+x)(4-x)(4-x)
x^3 minus x = x^2 which is the numerator of the answer.
(4+x) is cross cancelled leaving the denominator of the answer to be 16.
I think the answer is
X^2
___
16
Any help is welcome. Thank you.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify 4 + x^-1
________
64+ x^-3
------------
I factored the terms and made the exponents positive.
4+x^1
______
(4+x)(4-x)(4-x)
x^3 minus x = x^2 which is the numerator of the answer.
(4+x) is cross cancelled leaving the denominator of the answer to be 16.
I think the answer is
X^2
___
16
---------
*********************
x^-1 = 1/x
x^-3 = 1/x^3
64%2Bx%5E-3+=+4%5E3+-+%281%2Fx%29%5E3
= %284+%2B+%281%2Fx%29%29%2A%2816+-+%281%2Fx%29+%2B+%281%2Fx%29%5E2%29
The numerator is the 1st term, so cancel those.
--> 1%2F%2816+-+%281%2Fx%29+%2B+%281%2Fx%29%5E2%29
or 1%2F%2816+-+x%5E-1+%2B+x%5E-2%29
---------------------------------
I factored the terms and made the exponents positive. *** Changing the exponents is not allowed.