SOLUTION: PLEASE ANSWER ASAP I NEED HELP!! Could you please factor this equations and show the steps you took. 1.) 5x^3-40 2.) x^3+64 3.) x^2+36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: PLEASE ANSWER ASAP I NEED HELP!! Could you please factor this equations and show the steps you took. 1.) 5x^3-40 2.) x^3+64 3.) x^2+36      Log On


   

Question 972554: PLEASE ANSWER ASAP I NEED HELP!!
Could you please factor this equations and show the steps you took.
1.) 5x^3-40
2.) x^3+64
3.) x^2+36
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
1.) 5x^3-40
First factor out the greatest common factor 5, the result is
5%28x%5E3-8%29
Use the pattern a%5E3-b%5E3+=+%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29
The complete factored form is highlight%285%28x-2%29%28x%5E2%2B2x%2B4%29%29
2.) x^3+64
Use the pattern a%5E3%2Bb%5E3+=+%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29
The factored form of x%5E3%2B64 is highlight%28%28x%2B4%29%28x%5E2-4x%2B16%29%29
3.) x^2+36
x%5E2%2B36 is NOT factorable.