1. ## simlifying equations

Hi all
I’m stuck on this problem (from Stroud Engineering Maths 5th edition p 116 further problems f2)
Simplify the following giving the result without fractional indices.
(x^2 -1 )^2 * √x+1 ÷ (x-1)^3/2
I need help with the working
Kind regards
John

2. Originally Posted by JCM133
Hi all
I’m stuck on this problem (from Stroud Engineering Maths 5th edition p 116 further problems f2)
Simplify the following giving the result without fractional indices.
(x^2 -1 )^2 * √x+1 ÷ (x-1)^3/2
I need help with the working
Kind regards
John
is this the original expression to be simplified?

$\displaystyle \frac{(x^2-1)^2 \cdot \sqrt{x+1}}{(x-1)^{\frac{3}{2}}}$

if so, then I do not agree with the "answer".

3. I missed typed the answer sorry
it is
(x+1)^2√x^2-1

Kind regards
John

4. Remember that $\displaystyle x^2-1 = (x-1)(x+1)$

$\displaystyle \frac{(x^2-1)^2 \cdot \sqrt{x+1}}{(x-1)^{\frac{3}{2}}} = \frac{(x-1)^2 \cdot (x+1)^2 \cdot \sqrt{x+1}}{(x-1)^{\frac{3}{2}}} = \frac{(x-1)^2}{(x-1)^{\frac{3}{2}}} \cdot (x+1)^2 \cdot \sqrt{x+1}$

Now I guess you are able to simplify the fraction