SOLUTION: a^3 + c^3/a + c This is an image of the problem: http://i.imgur.com/tMG9EkN.png Please show all work... Thank you tutors!

Algebra ->  Expressions-with-variables -> SOLUTION: a^3 + c^3/a + c This is an image of the problem: http://i.imgur.com/tMG9EkN.png Please show all work... Thank you tutors!      Log On


   

Question 742470: a^3 + c^3/a + c


This is an image of the problem: http://i.imgur.com/tMG9EkN.png

Please show all work...
Thank you tutors!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E3+%2B+c%5E3 factors to %28a%2Bc%29%28a%5E2-ac%2Bc%5E2%29 by the sum of cubes formula

So this means

%28a%5E3%2Bc%5E3%29%2F%28a%2Bc%29

%28%28a%2Bc%29%28a%5E2-ac%2Bc%5E2%29%29%2F%28a%2Bc%29

%28%28a%2Bc%29%28a%5E2-ac%2Bc%5E2%29%29%2F%28a%2Bc%29

%28highlight%28%28a%2Bc%29%29%28a%5E2-ac%2Bc%5E2%29%29%2F%28highlight%28%28a%2Bc%29%29%29

%28cross%28%28a%2Bc%29%29%28a%5E2-ac%2Bc%5E2%29%29%2F%28cross%28%28a%2Bc%29%29%29

a%5E2-ac%2Bc%5E2

So %28a%5E3%2Bc%5E3%29%2F%28a%2Bc%29 simplifies to a%5E2-ac%2Bc%5E2