SOLUTION: Help please I am trying to figure out how to factor this to get the difference of two cubes: 27-u^3. Thank you!!!

Algebra ->  Square-cubic-other-roots -> SOLUTION: Help please I am trying to figure out how to factor this to get the difference of two cubes: 27-u^3. Thank you!!!      Log On


   

Question 87766: Help please
I am trying to figure out how to factor this to get the difference of two cubes:
27-u^3. Thank you!!!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
27-u%5E3
Remember the formula for the difference of two cubes: x%5E3-y%5E3=+%28x-y%29%28x%5E2%2Bxy%2By%5E2%29+
27-u%5E3
3%5E3-u%5E3
In this case, the x is 3 and the y is u.
%283-u%29%28___%2B___%2B___%29+

Fill in the blank spaces according to the formula:
%283-u%29%283%5E2%2B3%2Au%2Bu%5E2%29+
%283-u%29%289%2B3u%2Bu%5E2%29+
If you need a more examples and explanation on this, see my website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Go to MATH IN LIVING COLOR, look for Intermediate Algebra, Chapter 2, Section 2.01 Factoring the Difference and Sum of Squares. I hope this is helpful.

R^2 Retired from SCC