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October 29th, 2017, 05:25 AM  #1 
Newbie Joined: Oct 2017 From: UK Posts: 2 Thanks: 0  Please simplify this
Hello This question is from Engineering Mathematics 5th Ed, Further Problems F.2 Question 2 $\displaystyle (x^21)^2*(x+1)^{1/2}/(x1)^{3/2}$ the answer at the back of the book is given as $\displaystyle (x+1)^2(x^21)^{1/2}$ I would like to see the working Many thanks 
October 29th, 2017, 10:57 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,659 Thanks: 652 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Hint: How do you factor $\displaystyle x^2  1$? Dan  
October 29th, 2017, 11:00 AM  #3  
Senior Member Joined: May 2016 From: USA Posts: 825 Thanks: 335  Quote:
$\dfrac{(x + 1)^2(x  1)^{4/2}(x + 1)^{1/2}}{(x  1)^{3/2}} = (x + 1)^2(x  1)^{1/2}(x + 1)^{1/2} = (x + 1)^2\{(x  1)(x + 1)\}^{1/2} =$ $(x + 1)^2(x^2  1)^{1/2}.$ I suspect that you got the answer $(x + 1)^{5/2}(x  1)^{1/2}$, which is also correct. Last edited by JeffM1; October 29th, 2017 at 11:04 AM.  
October 30th, 2017, 06:20 AM  #4 
Newbie Joined: Oct 2017 From: UK Posts: 2 Thanks: 0 
Thanks very much to the both of you. I hadn't considered factoring x^21. This should help with some other questions too. 

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