SOLUTION: hey my name is farah i want help in my homework i want to know how can you solve those square root cubic y^3-64 and 1000x^3-27

Algebra ->  Square-cubic-other-roots -> SOLUTION: hey my name is farah i want help in my homework i want to know how can you solve those square root cubic y^3-64 and 1000x^3-27      Log On


   

Question 446475: hey my name is farah i want help in my homework i want to know how can you solve those square root cubic y^3-64 and 1000x^3-27
Found 2 solutions by Gogonati, chriswen:
Answer by Gogonati(855) About Me  (Show Source):
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Well you can't really solve them but, you mean factor right?
...
First of all you can use the identity a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29
...
1)y%5E3-64
=%28y%29%5E3-%284%29%5E3
=%28y-4%29%28y%5E2%2B4y%2B16%29
...
2)1000x%5E3-27
=%2810x%29%5E3-%283%29%5E3
=%2810x-3%29%28100x%5E2%2B30x%2B9%29