SOLUTION: 4. thank you all so much for your invaluable help. I would like to SEE how I can FACTOR this problem, please help. Thank you! 5u^3 - 80uy^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4. thank you all so much for your invaluable help. I would like to SEE how I can FACTOR this problem, please help. Thank you! 5u^3 - 80uy^2       Log On


   

Question 156111: 4. thank you all so much for your invaluable help. I would like to SEE how I can FACTOR this problem, please help. Thank you!
5u^3 - 80uy^2

Found 2 solutions by oscargut, jim_thompson5910:
Answer by oscargut(2103) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5u%5E3-80uy%5E2 Start with the given expression


5u%28u%5E2-16y%5E2%29 Factor out the GCF 5u



5u%28%28u%29%5E2-16y%5E2%29 Rewrite u%5E2 as %28u%29%5E2.


5u%28%28u%29%5E2-%284y%29%5E2%29 Rewrite 16y%5E2 as %284y%29%5E2.


Notice how we have a difference of squares. So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:


5u%28u%2B4y%29%28u-4y%29 Factor u%5E2-16y%5E2 to get %28u%2B4y%29%28u-4y%29 by using the difference of squares.


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Answer:

So 5u%5E3-80uy%5E2 factors to 5u%28u%2B4y%29%28u-4y%29