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    This is something that is most likely simple, just I can't seem to see it.

    I have an answer at the end of a question and this is

    \frac{2}{5}(t-1)^{5/2} + \frac{2}{3}(t-1)^{3/2} + c

    I want to show it is equal to

    \frac{2}{15}(t-1)^{3/2}(3t+2) + c

    I can only understand where the 2/15 is from, as it is taking a factor of both of the terms. I can't see how they've done the rest of it though. Any help would be greatly appreciated if you can show me why this works
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    (t-1)^{5/2} = (t-1)(t-1)^{3/2}. Then take out the common factor.
 
 
 
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Updated: February 7, 2010

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