SOLUTION: I know answer but not how to get it, please show detailed step by step, thank you. (x+5)^1/3 - (x+5)^4/3 and it's 6 over first term in parentheses,minus, the 1 is over

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Question 329700: I know answer but not how to get it, please show detailed step by step, thank you.
(x+5)^1/3 - (x+5)^4/3

and
it's 6 over first term in parentheses,minus, the 1 is over x-8, but computer won't keep it there. divided by term below line. thank you.
6 1
--------- - -----
(x^2 -3x -40) (x-8)
________________________
1
--- +1
x+5
Answer by mananth(16949) (Show Source):
You can put this solution on YOUR website!
(x+5)^1/3 - (x+5)^4/3
(x+5)^1/3( 1-(x+5)^3)
(x+5)^1/3(1-x-5)(1+5x+25)
(x+5)^1/3(-x-4)(5x+26)
(x+5)^1/3 (-5x^2-26x-20x-104)
(x+5)^1/3(-5x^2-46x-104)
-(x+5)^1/3(5x^2-20x-26x-104)
-(x+5)^1/3{5x(x-4)-26(x-4)}
-(x+5)^1/3(x-4)(5x-26)
....
it's 6 over first term in parentheses,minus, the 1 is over x-8, but computer won't keep it there. divided by term below line. thank you.
6 1
--------- - -----
(x^2 -3x -40) (x-8)
________________________
1
--- +1
x+5

...

..