- #1
roger12
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Homework Statement
Simplify the following, giving the result without fractional indices:
[(x^2 -1)^2 * √(x+1)]/ (x-1)^3/2
Homework Equations
The Attempt at a Solution
There are no common bases to add the indices and no common indices to multiply out the bases so I tried this and got it wrong, please show me where though:
[(x-1) (x+1)]^2 * (x+1)^(1/2)] / (x-1)^(3/2)
=[(x-1)^2 * (x+1)^2 * (x+1)^(1/2)] / (x-1)^(3/2)
multiplied the indices by 2 and got rid of the fractions
=[(x-1)^4 * (x+1)^4 * (x+1)] / (x-1)^3
= (x-1) *(x+1)^5
But my textbook says it is :( x + 1 )^2 √( x^2 - 1 )
Thank You.