SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{125a^3-8b^3}}} I really appriciate it. I am not getting this section at all.

Algebra ->  Functions -> SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{125a^3-8b^3}}} I really appriciate it. I am not getting this section at all.      Log On


   

Question 121495: Can you help me solve the following problem. It is to Factor the polynomial completely.
125a%5E3-8b%5E3
I really appriciate it. I am not getting this section at all.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
125a%5E3+-+8b%5E3
5%5E3a%5E3-+2%5E3b%5E3

+%285a%29%5E3+-+%282b%29%5E3+.........use general rule to factor the difference of cubes: +highlight%28x%5E3-y%5E3=%28x+-+y%29%28x%5E2+%2B+xy+%2B+y%5E2%29%29+.........

+%285a+-+2b%29%28%285a%29%5E2+%2B+5a%28-+2b%29+%2B%28-+2b%29%5E2%29+.........

+%285a+-+2b%29%28%285a%29%5E2+-+10ab++%2B+%28-2b%29%5E2%29+.........since the quadratic

%28%285a%29%5E2+-+10ab++%2B+%28-2b%29%5E2%29 cannot be factored further, your answer is:

+highlight%28%285a+-+2b%29%28%285a%29%5E2+-+10ab++%2B+%28-2b%29%5E2%29%29+.........