SOLUTION: how do I simplify a question that looks like: ((8x^3)/(x-1))/((7x^2)/((x^3)-1)) so that it is in x^3+x^2+x form?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do I simplify a question that looks like: ((8x^3)/(x-1))/((7x^2)/((x^3)-1)) so that it is in x^3+x^2+x form?      Log On


   

Question 50408: how do I simplify a question that looks like:
((8x^3)/(x-1))/((7x^2)/((x^3)-1))
so that it is in x^3+x^2+x form?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
((8x^3)/(x-1))/((7x^2)/((x^3)-1))
[(8x^3)/(x-1)] * ((x^3-1)/(7x^2))
At this point you have to know the following:
x^3-1=(x-1)(x^2+x+1).
If you see this you see the (x-1) factors cancel giving you the following:
(8x^3)*(x^2+x+1)/(7x^2)
=(8/7)x(x^2+x+1)
(8/7)(x^3+x^2+x)
Cheers,
Stan H.







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